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Publications

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

Research articles:

62

A Geometric Model for Odd Differential $K$-theory
Pedram Hekmati, Michael K. Murray, Vincent Schlegel and Raymond F. Vozzo

arXiv

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

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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.

arXiv:1102.4388

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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

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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

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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

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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

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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

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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

Publishers page

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

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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

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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

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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

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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.

hep-th/0310164

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48

Higgs fields, bundle gerbes and string structures.
M. K. Murray, D. Stevenson
Communications in Mathematical Physics, 243 , (2003), 541--555.

math.DG/0106179

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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

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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

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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

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

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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

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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
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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

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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

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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

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.

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/9702147

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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

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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

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33

A note on (1,1,...,1) monopole metrics
M.K. Murray
Journal of Geometry and Physics 23, (1997) 31-34.

hep-th/9605054

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32

Index theory, gerbes and Hamiltonian quantization.
A.L. Carey, J. Mickelsson and M.K. Murray
Commununications in Mathematical Physics, 183, 717-722, (1977).

hep-th/9511151

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31

Spectral curves of non-integral hyperbolic monopoles
M.K.Murray and M. Singer
Nonlinearity, 9, 973-997, (1996).

PDF

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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)

hep-th/9511169

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.

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28

Symmetric Monopoles,
N.J. Hitchin, N.S. Manton and M.K. Murray,
Nonlinearity, 8, 661-692 (1995).

dg-ga/9503016

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27

Faddeev's anomaly and bundle gerbes,
A.L. Carey and M.K. Murray.
Letters in Mathematical Physics, 37, 29-36, 1996.

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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

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

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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).

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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)

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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).

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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

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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

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15

Monopoles and their spectral data
J.C. Hurtubise and M.K. Murray
Communications in Mathematical Physics 133, 1990, 487--508.

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14

Stratifying monopoles and rational maps.
M.K. Murray
Communications in Mathematical Physics 125 , 1989, 661--674.

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13

Why instantons are monopoles.
H. Garland and M.K. Murray
Communications in Mathematical Physics 121 , 1989, 85--90.

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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.

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11

Kac-Moody monopoles and periodic instantons.
H. Garland and M.K. Murray
Communications in Mathematical Physics 120, 1988, 335--351.

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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.

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9

Another construction ot the central extension of the loop group.
M.K. Murray
Communications in Mathematical Physics 116,1988, 73-80.

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8

Coordinate Systems and Taylor Series in Statistics.
Michael K. Murray
Proceedings of the Royal Society London Series A 415, 1988, 445-452.

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7

Spectral curves and the ADHM method.
Michael K. Murray and N.J. Hitchin.
Communications in Mathematical Physics 114, 1988, 463-474.

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6

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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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.

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4

A twistor correspondance for homogeneous polynomial differential operators.
Michael K. Murray
Mathematische Annalen 272, 1985, 99-115.

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3

Non-abelian Magnetic Monopoles.
Michael K. Murray
Communications in Mathematical Physics 96,1984, 539-565.

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2

Monopoles and Spectral Curves for Arbitrary Lie Groups.
Michael K. Murray
Communications in Mathematical Physics 90, 1983, 263-271.

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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.

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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: mmurray@maths.adelaide.edu.au

DPhil Thesis
This is my DPhil thesis `Non-Abelian Magnetic Monopoles' as a pdf .

Differential Geometry Course
These are notes from my level 4 (honours) differential geometry course. They are copyright.

See also the revised and combined version of these notes here.


Last changed Monday, 23 September, 2013.
© 2013 The University of Adelaide.