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Publications

These pages contain links to research articles from journals and conference proceedings and also some miscellaneous other material.

Links:

Research articles:

69 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
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
67 The Weyl map and bundle gerbes
Kimberly E. Becker, Michael K. Murray and Daniel Stevenson
Journal of Geometry and Physics, 149, 2020, 103572.
arXiv:1910.07173
DOI
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).
arXiv:1905.06041
DOI
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.
arXiv:1608.06466
DOI
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.
arXiv:1702.01514
Download from journal.
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.
arXiv:1506.07931
DOI
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.
arXiv:1309.2834
DOI
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.
arXiv:1112.1752
DOI
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.
arXiv:1102.4388
DOI
59 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
58 Loop groups and holomorphic bundles
Jacques Hurtubise and Michael Murray
The Quarterly Journal of Mathematics, 64, (2013), 189-220.
arXiv:0812.3684
DOI
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
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
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
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
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
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
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
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
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.
hep-th/0310164
DOI
48 Higgs fields, bundle gerbes and string structures.
M. K. Murray, D. Stevenson
Communications in Mathematical Physics, 243 , (2003), 541--555.
math.DG/0106179
DOI
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
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
45 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
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.
math.DG/0101258
Project Euclid
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
42 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
41 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
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
39 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
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
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
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).
hep-th/9511169
DOI
35 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
dg-ga/9611011
DOI
34 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
33 A note on (1,1,...,1) monopole metrics
M.K. Murray
Journal of Geometry and Physics 23, (1997) 31-34.
hep-th/9605054
DOI
32 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
31 Spectral curves of non-integral hyperbolic monopoles
M.K.Murray and M. Singer
Nonlinearity, 9, 973-997, (1996).
PDF
DOI
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)
hep-th/9511169
DOI
29 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
28 Symmetric Monopoles,
N.J. Hitchin, N.S. Manton and M.K. Murray,
Nonlinearity, 8, 661-692 (1995).
dg-ga/9503016
DOI
27 Faddeev's anomaly and bundle gerbes,
A.L. Carey and M.K. Murray.
Letters in Mathematical Physics, 37, 29-36, 1996.
DOI
26 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
25 Bundle gerbes.
Michael K. Murray
Journal of the London Mathematical Society (2) 54 (1996) 403-416.
dg-ga/9407015
DOI
24 Monopoles and Yang-Baxter equations
M.F. Atiyah and M.K. Murray
in Further Advances in Twistor Theory Volume 2, Pitman, London, 1995.
23 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
22 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.
hep-th/9408141
21 The information metric on rational maps.
M.K. Murray,
Experimental Mathematics, 2, No 4, 272--279 (1993).
Project Euclid
20 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)
DOI
19 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).
JSTOR
18 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
17 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
16 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
JSTOR
15 Monopoles and their spectral data
J.C. Hurtubise and M.K. Murray
Communications in Mathematical Physics 133, 1990, 487--508.
Project Euclid
DOI
14 Stratifying monopoles and rational maps.
M.K. Murray
Communications in Mathematical Physics 125 , 1989, 661--674.
Project Euclid
DOI
13 Why instantons are monopoles.
H. Garland and M.K. Murray
Communications in Mathematical Physics 121 , 1989, 85--90.
Project Euclid
DOI
12 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
11 Kac-Moody monopoles and periodic instantons.
H. Garland and M.K. Murray
Communications in Mathematical Physics 120, 1988, 335--351.
Project Euclid
DOI
10 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.
DOI
9 Another construction ot the central extension of the loop group.
M.K. Murray
Communications in Mathematical Physics 116,1988, 73-80.
Project Euclid
DOI
8 Coordinate Systems and Taylor Series in Statistics.
Michael K. Murray
Proceedings of the Royal Society London Series A 415, 1988, 445-452.
DOI
7 Spectral curves and the ADHM method.
Michael K. Murray and N.J. Hitchin.
Communications in Mathematical Physics 114, 1988, 463-474.
Project Euclid
DOI
6 Holonomy and the Wess-Zumino term.
A.L. Carey and M.K. Murray
Letters in Mathematical Physics. 12 (4), 1986, 323--328.
DOI
5 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.
DOI
4 A twistor correspondance for homogeneous polynomial differential operators.
Michael K. Murray
Mathematische Annalen 272, 1985, 99-115.
DOI
3 Non-abelian Magnetic Monopoles.
Michael K. Murray
Communications in Mathematical Physics 96,1984, 539-565.
Project Euclid
DOI
2 Monopoles and Spectral Curves for Arbitrary Lie Groups.
Michael K. Murray
Communications in Mathematical Physics 90, 1983, 263-271.
Project Euclid
DOI
1 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

Research articles:

Other:

James Henry Michael 1920-2001
M. K. Murray and D. Parrott
Historical Records of Australian Science 25(1) 84 - 91 (2014 )
DOI

Book:

Differential Geometry and Statistics
M. K. Murray and J.W. Rice
CRC Press, 1993.
Publisher

Other material:

Errata for Differential Geometry and Statistics book
This PDF file contains an unfinished errata for my book with John Rice: `Differential Geometry and Statistics'. I am happy to receive additions to this errata or comments to: michael.murray@adelaide.edu.au
DPhil Thesis
This is my DPhil thesis `Non-Abelian Magnetic Monopoles' as a pdf .
Differential Geometry Course
Notes on Differential Geometry. PDF.


Last changed Monday, 14 June, 2021.
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