55
Loop groups and holomorphic bundles
54
The basic bundle gerbe on unitary groups
arXiv:0804.3464v1 [math.DG]
53
An Introduction to Bundle Gerbes
52 Bundle Gerbes for Chern-Simons and Wess-Zumino-Witten Theories. 51 Gerbes, Clifford modules and the index theorem. 50 Holonomy on D-Branes. 49 Type I D-branes in an H-flux and twisted KO-theory. 48 Higgs fields, bundle gerbes and string structures. 47 A note on monopole moduli spaces. 46 Hyperbolic monopoles and holomorphic spheres. 45 Monopoles 44 Yet another construction of the central extension of the loop group. 43 Twisted K-theory and K-theory of bundle gerbes. 42 Twistor Theory 41 Bundle gerbes: stable isomorphism and classifying theory 40 On the complete integrability of the
discrete Nahm equations 39 Bundle gerbes applied to quantum field
theory 38 Bundle gerbes and field theory 37 Torsion, current algebra and
Hamiltonian quantisation 36 Principal Bundles and the
Dixmier-Douady class 35 The spherical phylon group and
invariants of the Laplace approximation. 34 Instantons and the information
metric 33 A note on (1,1,...,1) monopole
metrics 32
Index theory, gerbes and Hamiltonian quantization. 31 Spectral curves of non-integral
hyperbolic monopoles 30 Higher Bundle Gerbes and Cohomology
Classes in Gauge Theories. 29 Lectures on Differential Geometry 28 Symmetric Monopoles, 27 Faddeev's anomaly and bundle
gerbes, 26 The phylon group and statistics. 25 Bundle gerbes. 24 Monopoles and Yang-Baxter equations 23 A note on the index bundle over the
moduli space of monopoles 22 Mathematical remarks on the cohomology
of gauge groups and anomalies. 21 The information metric on rational
maps. 20 Finite dimensional algebraic
representations of the infinite phylon group. 19 A Geometric Realisation of the
Lepowsky Bernstein Gelfand Gelfand resolution. 18 String structures and the path
fibration of a group. 17 Free fields on Riemann surfaces and
spectral curves of the chiral Potts model. 16 Higher order tensors, strings and new
tensors. 15 Monopoles and their spectral data 14 Stratifying monopoles and rational
maps. 13 Why instantons are monopoles. 12 On the construction of monopoles for
the classical groups. 11 Kac-Moody monopoles and periodic
instantons. 10 The generalized Borel-Weil theorem and
integral geometry. 9 Another construction ot the central
extension of the loop group. 8 Coordinate Systems and Taylor Series in Statistics. 7 Spectral curves and the ADHM
method. 6 Holonomy and the Wess-Zumino term. 5 A Penrose transform for the twistor
space of an even dimensional conformally flat Riemannian
manifold. 4 A twistor correspondance for
homogeneous polynomial differential operators. 3 Non-abelian Magnetic Monopoles. 2 Monopoles and Spectral Curves for Arbitrary Lie Groups. 1 Casimir Invariants, characteristic
identities and tensor operators for strange
superalgebras.
Jacques C.Hurtubise and Michael K. Murray
arXiv:0812.3684v1 [math.AG]
Michael K Murray and Danny Stevenson
Journal of Geometry and Physics, 2008
58 (11), (2008), 1571-1590.
Final version for journal
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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, 2009. To appear.
Alan L. Carey, Stuart Johnson, Michael K. Murray, Danny Stevenson and Bai-Ling Wang.
Communications in Mathematical Physics, 159 (3) (2005), 577-613
Michael K. Murray and Michael A. Singer.
Annals of Global Analysis and Geometry,
26 , (4), (2004), 355--367.
Alan L. Carey, Stuart Johnson, Michael K. Murray
Journal of Geometry and Physics, 52, Issue 2,
(2004), 186-216.
V. Mathai, M.K. Murray, D. Stevenson.
J HIGH ENERGY PHYS (11): Art. No. 053 NOV 2003.
M. K. Murray, D. Stevenson
Communications in Mathematical Physics, 243 , (2003), 541--555.
Michael K. Murray and Michael A. Singer.
Journal of Mathematical Physics, 44 , (8), (2003), 3517-3531.
Michael K. Murray, Paul Norbury, Michael A. Singer.
Annals of Global Analysis and Geometry 23 (2003), 101-128.
Michael K. Murray
in Geometric Analysis and Applications to Quantum Field Theory, 119-135,
Progress in Mathematics, 205, Birkhauser, Boston, 2000.
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.
P. Bouwknegt, A. L. Carey, V. Mathai, M. K. Murray, D. Stevenson
Commun. Math. Phys. 228, Issue 1, (2002) pp 17-49.
M.K. Murray
in Geometric approaches to differential equations (Canberrra 1995), 201-203,
Australian Mathematical Society Lecture Series, 15,
Cambridge University Press,
Cambridge, 2000
Michael K. Murray and Daniel Stevenson
J. London Math. Soc. (2) 62
(2000), no. 3, 925-937.
math.DG/9908135
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M.K. Murray and M.A. Singer.
Communications in Mathematical Physics, 210 , no. 2,
497-519 (2000).
A.L. Carey, J. Mickelsson and M.K. Murray.
Reviews in Mathematical Physics, 12 , no. 1, 65-90 (2000).
A.L. Carey, J. Mickelsson and M.K. Murray.
Proceedings of the International
Congress of Mathematical Physics 1997, 179--185.
A.L. Carey, J. Mickelsson and M.K. Murray
Lie Theory and its Applications in Physics II,
World Scientific, 1998, 204--209.
A.L. Carey, D. Crowley and M.K. Murray
Communications in Mathematical Physics 193, 171--196
(1998).
hep-th/9702147
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
dg-ga/9611011
D. Groisser and M.K. Murray
Annals of Global Analysis and Geometry, 5 (1997),
519--537.
dg-ga/9611008
M.K. Murray
Journal of Geometry and Physics 23, (1997)
31-34.
hep-th/9605054
A.L. Carey, J. Mickelsson and M.K. Murray
Commununications in Mathematical Physics, 183, 717-722, (1977).
hep-th/9511151
M.K.Murray and M. Singer
Nonlinearity, 9, 973-997, (1996).
A.L.Carey, M.K.Murray and B.L.Wang
Journal of Geometry and Physics. 21, 183-197.
(1997)
hep-th/9511169
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.
N.J. Hitchin, N.S. Manton and M.K. Murray,
Nonlinearity, 8, 661-692 (1995).
dg-ga/9503016
A.L. Carey and M.K. Murray.
Letters in Mathematical Physics, 37, 29-36,
1996.
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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.
Michael K. Murray
Journal of the London Mathematical Society (2) 54
(1996) 403-416.
dg-ga/9407015
M.F. Atiyah and M.K. Murray
in Further Advances in Twistor Theory Volume 2, Pitman, London, 1995.
John D. S. Jones and Michael K. Murray.
Communications in Mathematical Physics 170, 445-451
(1995).
dg-ga/9407005
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.
M.K. Murray,
Experimental Mathematics, 2, No 4, 272--279
(1993).
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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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M.K. Murray and J.W. Rice,
Proceedings of the American Mathematical Society 114
, 2, 553--559 (1992).
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A.L. Carey and M.K. Murray,
Communications in Mathematical Physics 141 ,1991,
441--452
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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.
A.L. Carey and M.K. Murray
Proceedings of the Royal Society London Series A. 430
,1990, 423--432
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J.C. Hurtubise and M.K. Murray
Communications in Mathematical Physics 133, 1990,
487--508.
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M.K. Murray
Communications in Mathematical Physics 125 , 1989,
661--674.
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H. Garland and M.K. Murray
Communications in Mathematical Physics 121 , 1989,
85--90.
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J.C. Hurtubise and M.K. Murray
Communications in Mathematical Physics 122 , 1989,
35--89.
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H. Garland and M.K. Murray
Communications in Mathematical Physics 120, 1988,
335--351.
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J.W. Rice and M.K. Murray
Journal of the London Mathematical Society 39(1),
1988, 121-128.
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M.K. Murray
Communications in Mathematical Physics 116,1988,
73-80.
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Michael K. Murray
Proceedings of the Royal Society London Series A 415,
1988, 445-452.
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Michael K. Murray and N.J. Hitchin.
Communications in Mathematical Physics 114, 1988,
463-474.
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A.L. Carey and M.K. Murray
Letters in Mathematical Physics. 12 (4), 1986,
323--328.
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Michael K. Murray
Annals of Global Analysis and Geometry 4 (2), 1986,
71--88.
Michael K. Murray
Mathematische Annalen 272, 1985, 99-115.
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Michael K. Murray
Communications in Mathematical Physics 96,1984,
539-565.
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Michael K. Murray
Communications in Mathematical Physics 90, 1983,
263-271.
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P.D. Jarvis and M. K. Murray
Journal of Mathematical Physics 24(7), 1983,
1705-1710.
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