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69
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Non-associative magnetic translations from parallel transport in projective Hilbert bundles
Jouko Mickelsson and Michael K. Murray
Journal of Geometry and Physics,
163, May 2021, 104152
|
arXiv:2011.11431
DOI
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68
|
JNR Monopoles
Michael K. Murray and Paul Norbury
Quarterly Journal of Mathematics, 72, Issue 1-2, June 2021, 387–405.
|
arXiv:1912.05718
DOI
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67
|
The Weyl map and bundle gerbes
Kimberly E. Becker, Michael K. Murray and Daniel Stevenson
Journal of Geometry and Physics, 149, 2020, 103572.
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arXiv:1910.07173
DOI
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66
|
Sign choices for orientifolds
Pedram Hekmati, Michael K. Murray, Richard J. Szabo and Raymond F. Vozzo
Communications in Mathematical Physics, 378, 1843–1873, (2020).
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arXiv:1905.06041
DOI
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65
|
Real bundle gerbes, orientifolds and twisted KR-homology
Pedram Hekmati, Michael K. Murray, Richard J. Szabo and Raymond F. Vozzo
Advances in Theoretical and Mathematical Physics, 23, (2019), No 8, 2093-2159.
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arXiv:1608.06466
DOI
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64
|
Quasi-periodic paths and a string 2-group model from the free loop group
Michael Murray, David Michael Roberts and Christoph Wockel
Journal of Lie Theory 27 (2017), No. 4, 1151-1177.
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arXiv:1702.01514
Download from journal.
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63
|
Equivariant bundle gerbes
Michael K. Murray, David Michael Roberts, Danny Stevenson and Raymond F. Vozzo
Advances in Theoretical and Mathematical Physics, 21 (2017), No 4, 921-975.
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arXiv:1506.07931
DOI
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62
|
A Geometric Model for Odd Differential K-theory
Pedram Hekmati, Michael K. Murray, Vincent Schlegel and Raymond F. Vozzo
Differential Geometry and its Applications 40, (2015), 123-158.
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arXiv:1309.2834
DOI
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61
|
The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes
Pedram Hekmati, Michael K. Murray, Danny Stevenson and Raymond F. Vozzo
Communications in Mathematical Physics. 319 (2) (2013), 379-393.
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arXiv:1112.1752
DOI
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60
|
On the existence of bibundles
Michael Murray, David Michael Roberts and Danny Stevenson
Proceedings of the London Mathematical Society,
105, (6) (2012), 1290-1314.
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arXiv:1102.4388
DOI
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59
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The general caloron correspondence
Pedram Hekmati, Michael K. Murray and Raymond F. Vozzo
Journal of Geometry and Physics,
62 (2) (2012), 224-241.
|
arXiv:1105.0805
DOI
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58
|
Loop groups and holomorphic bundles
Jacques Hurtubise and Michael Murray
The Quarterly Journal of Mathematics, 64, (2013), 189-220.
|
arXiv:0812.3684
DOI
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57
|
A note on bundle gerbes and infinite-dimensionality
Michael Murray and Danny Stevenson
Journal of the Australian Mathematical Society,
90 (1) (2011), 81-92.
|
arXiv:1007.4922
DOI
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56
|
Circle actions, central extensions and string structures
Michael K. Murray and Raymond F. Vozzo
International Journal of Geometric Methods in Modern Physics
7(6), (2010), 1065-1092.
|
arXiv:1004.0779
DOI
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55
|
The caloron correspondence and higher string classes for loop groups
Michael K. Murray and Raymond F. Vozzo
Journal of Geometry and Physics,
60 (11), (2010), 1235-1250.
|
arXiv:0911.3464
DOI
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54
|
An Introduction to Bundle Gerbes
M.K. Murray
In:
The Many Facets of Geometry, A Tribute to Nigel Hitchin
Edited by Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon,
Oxford University Press, Oxford 2010.
|
arXiv:0712.1651
DOI
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53
|
The basic bundle gerbe on unitary groups
Michael K Murray and Danny Stevenson
Journal of Geometry and Physics,
58 (11), (2008), 1571-1590.
|
arXiv:0804.3464
DOI
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52
|
Bundle Gerbes for Chern-Simons and Wess-Zumino-Witten Theories.
Alan L. Carey, Stuart Johnson, Michael K. Murray, Danny Stevenson and Bai-Ling Wang.
Communications in Mathematical Physics, 159 (3) (2005), 577-613
|
math.DG/0410013
DOI
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51
|
Gerbes, Clifford modules and the index theorem.
Michael K. Murray and Michael A. Singer.
Annals of Global Analysis and Geometry,
26 , (4), (2004), 355--367.
|
math.DG/0302096
DOI
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50
|
Holonomy on D-Branes.
Alan L. Carey, Stuart Johnson, Michael K. Murray
Journal of Geometry and Physics, 52, Issue 2,
(2004), 186-216.
|
hep-th/0204199
DOI
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49
|
Type I D-branes in an H-flux and twisted KO-theory.
V. Mathai, M.K. Murray, D. Stevenson.
J HIGH ENERGY PHYS (11): Art. No. 053 NOV 2003.
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hep-th/0310164
DOI
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48
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Higgs fields, bundle gerbes and string structures.
M. K. Murray, D. Stevenson
Communications in Mathematical Physics, 243 , (2003), 541--555.
|
math.DG/0106179
DOI
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47
|
A note on monopole moduli spaces.
Michael K. Murray and Michael A. Singer.
Journal of Mathematical Physics, 44 , (8), (2003), 3517-3531.
|
math-ph/0302020
DOI
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46
|
Hyperbolic monopoles and holomorphic spheres.
Michael K. Murray, Paul Norbury, Michael A. Singer.
Annals of Global Analysis and Geometry 23 (2003), 101-128.
|
math.DG/0111202
DOI
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45
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Monopoles
Michael K. Murray
in Geometric Analysis and Applications to Quantum Field Theory, 119-135,
Progress in Mathematics, 205, Birkhauser, Boston, 2000.
|
math-ph/0101035
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44
|
Yet another construction of
the central extension of the loop group.
Michael K. Murray, Daniel Stevenson
in Geometric analysis and applications (Canberra, 2000)
194--200,
Proceedings of the Centre for Mathematics and its Applications,
Australian National University, Canberra, 2001.
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math.DG/0101258
Project Euclid
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43
|
Twisted K-theory and K-theory of bundle gerbes.
P. Bouwknegt, A. L. Carey, V. Mathai, M. K. Murray, D. Stevenson
Communications in Mathematical Physics 228, Issue 1, (2002) pp 17-49.
|
hep-th/0106194
DOI
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42
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Twistor Theory
M.K. Murray
in Geometric approaches to differential equations (Canberrra 1995),
201-203,
Australian Mathematical Society Lecture Series, 15,
Cambridge University Press,
Cambridge, 2000
|
Download
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41
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Bundle gerbes: stable isomorphism and classifying theory
Michael K. Murray and Daniel Stevenson
J. London Math. Soc. (2) 62
(2000), no. 3, 925-937.
|
math.DG/9908135
DOI
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40
|
On the complete integrability of the
discrete Nahm equations
M.K. Murray and M.A. Singer.
Communications in Mathematical Physics, 210 , no. 2,
497-519 (2000).
|
math-ph/9903017
DOI
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39
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Bundle gerbes applied to quantum field
theory
A.L. Carey, J. Mickelsson and M.K. Murray.
Reviews in Mathematical Physics, 12 , no. 1, 65-90 (2000).
|
hep-th/9711133
DOI
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38
|
Bundle gerbes and field theory
A.L. Carey, J. Mickelsson and M.K. Murray.
Proceedings of the International
Congress of Mathematical Physics 1997, 179--185.
|
PDF
DOI
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37
|
Torsion, current algebra and
Hamiltonian quantisation
A.L. Carey, J. Mickelsson and M.K. Murray
Lie Theory and its Applications in Physics II,
World Scientific, 1998, 204--209.
|
DOI
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36
|
Principal Bundles and the
Dixmier-Douady class
A.L. Carey, D. Crowley and M.K. Murray
Communications in Mathematical Physics 193, 171--196
(1998).
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hep-th/9511169
DOI
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35
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The spherical phylon group and
invariants of the Laplace approximation.
A.L. Carey, M.G. Eastwood, P.E. Jupp and M.K.Murray
Proceedings of the Royal Society London, 454, Number
1973, (1998), 1255--1268
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dg-ga/9611011
DOI
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34
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Instantons and the information
metric
D. Groisser and M.K. Murray
Annals of Global Analysis and Geometry, 5 (1997),
519--537.
|
dg-ga/9611008
DOI
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33
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A note on (1,1,...,1) monopole
metrics
M.K. Murray
Journal of Geometry and Physics 23, (1997)
31-34.
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hep-th/9605054
DOI
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32
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Index theory, gerbes and Hamiltonian quantization.
A.L. Carey, J. Mickelsson and M.K. Murray
Commununications in Mathematical Physics, 183, 717-722, (1997).
|
hep-th/9511151
DOI
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31
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Spectral curves of non-integral
hyperbolic monopoles
M.K.Murray and M. Singer
Nonlinearity, 9, 973-997, (1996).
|
PDF
DOI
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30
|
Higher Bundle Gerbes and Cohomology
Classes in Gauge Theories.
A.L.Carey, M.K.Murray and B.L.Wang
Journal of Geometry and Physics. 21, 183-197.
(1997)
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hep-th/9511169
DOI
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29
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Vector bundles and gauge theories
M.K.Murray
in Instructional Workshop on Analysis and Geometry (canberra, 1995) ,
Proceedings of the Centre for Mathematical Analysis and its Applications,
34, II, 165-194, 1995.
|
Project Euclid
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28
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Symmetric Monopoles,
N.J. Hitchin, N.S. Manton and M.K. Murray,
Nonlinearity, 8, 661-692 (1995).
|
dg-ga/9503016
DOI
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27
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Faddeev's anomaly and bundle
gerbes,
A.L. Carey and M.K. Murray.
Letters in Mathematical Physics, 37, 29-36,
1996.
|
DOI
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26
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The phylon group and statistics.
A.L. Carey, P.E. Jupp and M.K. Murray,
in Algebraic Groups and Lie Groups, Editor G.I. Lehrer,
Australian Mathematical Society, Lecture Series Volume
9.
Cambridge University Press 1997, 35--50.
|
PDF
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25
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Bundle gerbes.
Michael K. Murray
Journal of the London Mathematical Society (2) 54
(1996) 403-416.
|
dg-ga/9407015
DOI
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24
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Monopoles and Yang-Baxter equations
M.F. Atiyah and M.K. Murray
in Further Advances in Twistor Theory Volume 2, Pitman, London, 1995.
|
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23
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A note on the index bundle over the
moduli space of monopoles
John D. S. Jones and Michael K. Murray.
Communications in Mathematical Physics 170, 445-451
(1995).
|
dg-ga/9407005
Project Euclid
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22
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Mathematical remarks on the cohomology
of gauge groups and anomalies.
A.L. Carey and M.K. Murray.
in Confronting the Infinite' Proceedings of a Conference
in
Celebration of the 70th Years of H.S. Green and C.A.
Hurst .
World Scientific, 1995.
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hep-th/9408141
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21
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The information metric on rational
maps.
M.K. Murray,
Experimental Mathematics, 2, No 4, 272--279
(1993).
|
Project Euclid
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20
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Finite dimensional algebraic
representations of the infinite phylon group.
O.E. Barndorff-Neilsen, P. Blaesild, A.L. Carey, P.E. Jupp,
M. Mora and M.K. Murray,
Acta Applicandae Mathematica 28 , 219--252,
(1992)
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DOI
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19
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A Geometric Realisation of the
Lepowsky Bernstein Gelfand Gelfand resolution.
M.K. Murray and J.W. Rice,
Proceedings of the American Mathematical Society 114
, 2, 553--559 (1992).
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JSTOR
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18
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String structures and the path
fibration of a group.
A.L. Carey and M.K. Murray,
Communications in Mathematical Physics 141 ,1991,
441--452
|
Project Euclid
DOI
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17
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Free fields on Riemann surfaces and
spectral curves of the chiral Potts model.
A.L. Carey, K.C. Hannabuss and M.K. Murray,
in Proceedings of the conference on Topological and Geometrical
Methods in Field Theory Turku 1991,
World Scientific. ed J Mickelsson and O. Pekonen.
|
PDF
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16
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Higher order tensors, strings and new
tensors.
A.L. Carey and M.K. Murray
Proceedings of the Royal Society London Series A. 430
,1990, 423--432
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JSTOR
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15
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Monopoles and their spectral data
J.C. Hurtubise and M.K. Murray
Communications in Mathematical Physics 133, 1990,
487--508.
|
Project Euclid
DOI
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14
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Stratifying monopoles and rational
maps.
M.K. Murray
Communications in Mathematical Physics 125 , 1989,
661--674.
|
Project Euclid
DOI
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13
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Why instantons are monopoles.
H. Garland and M.K. Murray
Communications in Mathematical Physics 121 , 1989,
85--90.
|
Project Euclid
DOI
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12
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On the construction of monopoles for
the classical groups.
J.C. Hurtubise and M.K. Murray
Communications in Mathematical Physics 122 , 1989,
35--89.
|
Project Euclid
DOI
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11
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Kac-Moody monopoles and periodic
instantons.
H. Garland and M.K. Murray
Communications in Mathematical Physics 120, 1988,
335--351.
|
Project Euclid
DOI
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10
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The generalized Borel-Weil theorem and
integral geometry.
J.W. Rice and M.K. Murray
Journal of the London Mathematical Society 39(1),
1988, 121-128.
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DOI
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9
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Another construction ot the central
extension of the loop group.
M.K. Murray
Communications in Mathematical Physics 116,1988,
73-80.
|
Project Euclid
DOI
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8
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Coordinate Systems and Taylor Series in Statistics.
Michael K. Murray
Proceedings of the Royal Society London Series A 415,
1988, 445-452.
|
DOI
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7
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Spectral curves and the ADHM
method.
Michael K. Murray and N.J. Hitchin.
Communications in Mathematical Physics 114, 1988,
463-474.
|
Project Euclid
DOI
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6
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Holonomy and the Wess-Zumino term.
A.L. Carey and M.K. Murray
Letters in Mathematical Physics. 12 (4), 1986,
323--328.
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DOI
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5
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A Penrose transform for the twistor
space of an even dimensional conformally flat Riemannian
manifold.
Michael K. Murray
Annals of Global Analysis and Geometry 4 (2), 1986,
71--88.
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DOI
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4
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A twistor correspondance for
homogeneous polynomial differential operators.
Michael K. Murray
Mathematische Annalen 272, 1985, 99-115.
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DOI
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3
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Non-abelian Magnetic Monopoles.
Michael K. Murray
Communications in Mathematical Physics 96,1984,
539-565.
|
Project Euclid
DOI
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2
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Monopoles and Spectral Curves for Arbitrary Lie Groups.
Michael K. Murray
Communications in Mathematical Physics 90, 1983,
263-271.
|
Project Euclid
DOI
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1
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Casimir Invariants, characteristic
identities and tensor operators for strange
superalgebras.
P.D. Jarvis and M. K. Murray
Journal of Mathematical Physics 24(7), 1983,
1705-1710.
|
DOI
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