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Mathematics Institute

John Rawnsley's Publications

Articles in Refereed Journals

1. J. H. Rawnsley, De Sitter symplectic spaces and their quantizations.
  Proc. Camb. Phil. Soc. 76 (1974) 473–480.
2. J. H. Rawnsley, Representations of a semi-direct product by quantization.
  Math. Proc. Camb. Phil. Soc. 78 (1975) 345–350.
3. J. H. Rawnsley, Coherent states and Kähler manifolds.
  Quart. J. Math. Oxford 28 (1977) 403–415.
4. J. H. Rawnsley, On the cohomology groups of a polarization and diagonal quantization.
  Trans. Amer. Math. Soc. 230 (1977) 235–255.
5. J. H. Rawnsley, Spherically symmetric monopoles are smooth.
  J. Phys. A Letters 10 (1977) L139–L141.
6. J. H. Rawnsley and D. H. Tchrakian, Comment on the magnetic charge of Yang–Mills fields with large internal symmetry group.
  J. Phys. A Letters 10 (1977) L87–L90.
7. J. H. Rawnsley and D. H. Tchrakian, A class of pseudoparticle solutions of the SO(5) Yang–Mills equations.
  J. Phys. A Letters 10 (1977) L195–L198.
8. L. O'Raifeartaigh and J. H. Rawnsley, Mass-spectrum for monopoles with integral isospin–bag model as the high isospin limit.
  Physics Letters 72B (1978) 465–470.
9. J. H. Rawnsley, On the pairing of polarizations.
  Commun. Math. Phys. 58 (1978) 1–8.
10. J. H. Rawnsley, Flat partial connections and holomorphic structures in smooth vector bundles.
  Proc. Amer. Math. Soc. 73 (1979) 391–397.
11. J. H. Rawnsley, A non-unitary pairing of polarizations for the Kepler problem.
  Trans. Amer. Math. Soc. 250 (1979) 167–180.
12. J. H. Rawnsley, On the Atiyah–Hitchin–Drinfeld–Manin vanishing theorem for cohomology groups of instanton bundles.
  Math. Ann. 241 (1979) 43–56.
13. J. H. Rawnsley and S. Sternberg, On representations associated to the minimal nilpotent coadjoint orbit of $SL(3,\mathbb{R}$).
  Amer. J. Math. 104 (1982) 1153–1180.
14. J. H. Rawnsley, On polarizers and polarized sections.
  Letters in Math. Phys. 6 (1982) 379–384.
15. J. H. Rawnsley, On the rank of horizontal maps.
  Math. Proc. Camb. Phil Soc. 92 (1982) 485–488.
16. R. J. Blattner and J. H. Rawnsley, Quantization of the action of $U(k,l)$ on $\mathbb{R}^{2(k+l)}$.
  J. Fun. Anal. 50 (1983) 188–214.
17. J. H. Rawnsley, W. Schmid and J. A. Wolf, Singular Unitary Representations and Indefinite Harmonic Theory.
  J. Fun. Anal. 51 (1983) 1–114.
18. R. J. Blattner and J. H. Rawnsley, A cohomological construction of half-forms for non-positive polarizations.
  Bull. Math. Soc. Belg. Sér. B 38 (1986) 109–130.
19. P. Horvathy and J. H. Rawnsley, Topological charges in monopole theories.
  Comm. Math. Phys. 96 (1984) 497–519.
20. N. R. O'Brian and J. H. Rawnsley, Twistor spaces.
  Ann. Global Anal. Geom. 3 (1985) 29–85.
21. P. Horvathy and J. H. Rawnsley, Monopole charges for arbitrary gauge groups and Higgs fields in any representation.
  Comm. Math. Phys. 99 (1985) 517–540.
22. P. Horvathy and J. H. Rawnsley, Survival of Grand Unified Monopoles.
  Letters in Math. Phys. 9 (1985) 195–200.
23. P. Horvathy and J. H. Rawnsley, Internal symmetries of non–abelian gauge field configurations.
  Phys. Rev. D 32 (1985) 968–976.
24. P. Horvathy and J. H. Rawnsley, On the existence of monopoles in Grand Unified Theories.
  J. Phys. A 18 (1985) 2647–2651.
25. P. Horvathy and J. H. Rawnsley, The problem of ``Global Color'' in gauge theories.
  J. Math. Phys. 27 (1986) 982–990.
26. F. E. Burstall and J. H. Rawnsley, Sphères harmoniques dans les groupes de Lie compacts et courbes holomorphes dans les espaces homogènes.
  C. R. Acad. Sc. Paris, Série I 302 (1986) 709–712.
27. P. Horvathy and J. H. Rawnsley, Monopole invariants.
  J. Phys. A 20 (1987) 747–751.
28. F. E. Burstall, J. H. Rawnsley and S. Salamon, Stability of harmonic maps of Riemann surfaces into symmetric spaces.
  Bull. Amer. Math. Soc. 16 (1987) 274–278.
29. F. E. Burstall and J. H. Rawnsley, Stability of classical solutions of two dimensional Grassmannian models.
  Comm. Math. Phys. 110 (1987) 311–316.
30. P.A. Horvathy, L. O'Raifeartaigh and J. H. Rawnsley, Monopole-charge instability.
  J. Mod. Phys. A 3 (1988) 665–702.
31. F. E. Burstall, D. Burns, P. de Bartolomeis and J. H. Rawnsley, Stability of harmonic maps of Kähler manifolds.
  J. Diff. Geom. 30 (1989) 579–594.
32. P. Robinson and J. H. Rawnsley, Mpc structures and geometric quantization.
  Memoirs of the AMS 410 (1989).
33. M. Cahen, S. Gutt and J. H. Rawnsley, Quantization of Kähler manifolds I.
  J. Geom. Phys. 7 (1990) 45–62.
34. M. Cahen, S. Gutt and J. H. Rawnsley, Quantization of Kähler manifolds II.
  Trans. Amer. Math. Soc. 337 (1993) 73–98.
35. J. H. Rawnsley, Exact symplectic structures and a classical model for the Dirac electron.
  Letters in Mathematical Physics 24 (1992) 331–336.
36. F. E. Burstall, S. Gutt and J. H. Rawnsley, Twistor spaces for Riemannian symmetric spaces.
  Math. Ann. 295 (1993) 724–743.
37. M. Cahen, S. Gutt and J. H. Rawnsley, Non-linearisability of the Iwasawa Poisson Lie structure.
  Letters in Mathematical Physics 24 (1992) 79–83.
38. F. E. Burstall, G. Grantcharov, O. Muskarov and J. H. Rawnsley, Hermitian structures on Hermitian symmetric spaces.
  J. Geom. Phys. 10 (1993) 245–249.
39. M. Cahen, S. Gutt and J. Rawnsley, Quantization of Kähler manifolds III.
  Letters in Math. Phys. 30 (1994) 291–305.
40. M. Cahen, S. Gutt and J. Rawnsley, Some remarks on the classification of Poisson Lie groups. Symposium on symplectic geometry and quantization problems, Keio, Japan, 1993.
  Contemp. Math. 179 (1994) 1–16.
41. M. Cahen, S. Gutt and J. Rawnsley, Quantization of Kähler manifolds IV.
  Letters in Math. Phys. 34 (1995) 159–168.
42. M. Cahen, S. Gutt and J. Rawnsley, On tangential star products for the coadjoint Poisson structure.
  Commun. Math. Phys. 180 (1996) 99–108.
43. John Jones and John Rawnsley, Hamiltonian circle actions on symplectic manifolds and the signature.
  J. Geom. Phys. 23 (1997) 301–307.
44. Simone Gutt and John Rawnsley, Equivalence of star products on a symplectic manifold.
  J. Geom. Phys. 29 (1999) 347–392.
45. M. Cahen, S. Gutt and J. Rawnsley, Preferred invariant symplectic connections on compact coadjoint orbits.
  Letters in Math. Phys. 48 (1999) 353–364.
46. M. Cahen, S. Gutt and J. Rawnsley, Symplectic connections with parallel Ricci tensor.
  Banach Center Publications. 51 (2000) 31–41.
47. M. Cahen, S. Gutt, J. Horowitz and J. Rawnsley, Homogeneous symplectic manifolds with Ricci-type curvature.
  J. Geom. Phys. 38 (2001) 140–151.
48. S. Gutt and J. Rawnsley, Traces for star products on symplectic manifolds.
  J. Geom. Phys. 42 (2002) 12–18.
49. M. Cahen, S. Gutt, J. Horowitz and J. Rawnsley, Moduli space of symplectic connections of Ricci type on T2n; a formal approach.
  J. Geom. Phys. 46 (2003) 174–192.
50. S. Gutt and J. Rawnsley, Natural star products on symplectic manifolds and quantum moment maps.
  Letters in Math. Phys. 66 (2003) 123–139.
51. R. Albuquerque and J. Rawnsley, Twistor Theory of Symplectic Manifolds.
  J. Geom. Phys. 56 (2006) 214–246.
52. P. Bieliavsky, M. Cahen, S. Gutt, J. Rawnsley and L. Schwachhöfer, Symplectic Connections.
  Int. J. Geom. Methods Mod. Phys. 3 (2006) 375–420, math.SG/0511194.
53. Michel Cahen, Simone Gutt, Amin D. Malik and John Rawnsley, Transitive subgroups of transvections acting on some symplectic symmetric spaces of Ricci type.
  J. Geom. Phys. 61 (2011) 1292–1308.
54. Michel Cahen, Simone Gutt and John Rawnsley, Symplectic Dirac operators and Mpc-structures.
  Gen. Relativ. Gravit. 43 (2011) 3593–3617.
55. Peng-Ming Zhang, Peter A. Horvathy and John Rawnsley, Topology, and (in)stability of non-Abelian monopoles.
  Ann. Phys. 327 (2012) 118–165.
56. John Rawnsley, On the universal covering group of the real symplectic group.
  J. Geom. Phys. 62 (2012) 2044–2058.
57. Michel Cahen, Simone Gutt, Laurent La Fuente Gravy and John Rawnsley, On Mpc-structures and symplectic Dirac operators.
  J. Geom. Phys. 86 (2014) 434–466.
58. Michel Cahen, Simone Gutt and John Rawnsley, On Twistor Almost Complex Structures.
  J. Geom. Mech 13 (2021) 313–331.

Articles in Conference Proceedings

1. J. H. Rawnsley, Some properties of half-forms.
  Proceedings of Differential Geometrical Methods in Mathematical Physics II, Bonn, 1977. Edited by K. Bleuler, H. R. Petry and F. Reetz. Lecture Notes in Mathematics 676 (Springer-Verlag, Berlin, 1978). (4 pages)
2. J. H. Rawnsley, Self-dual Yang–Mills fields.
  Global Analysis, Calgary, 1978. Edited by M. Grmela and J. E. Marsden. Lecture Notes in Mathematics 755 (Springer-Verlag, Berlin, 1979). (18 pages)
3. J. H. Rawnsley, Non-positive polarizations and half-forms.
  Differential Geometrical Methods in Mathematical Physics. Edited by P. L. García, A. Pérez-Rendón and J. M. Souriau. Lecture Notes in Mathematics 836 (Springer-Verlag, Berlin, 1980). (8 pages)
4. J. H. Rawnsley, f-structures, f-twistor spaces and harmonic maps.
  Geometry Seminar ``Luigi Bianchi'' II - 1984. Edited by E. Vesentini. Lecture Notes in Mathematics 1164 (Springer-Verlag, Berlin, 1985). (71 pages)
5. R.J. Blattner and J. H. Rawnsley, Remarks on Batchelor's theorem.
  Mathematical Aspects of Superspace. Edited by H.-J. Seifert et al. NATO ASI Series C 132, (Reidel, Dordrecht, 1984). (11 pages)
6. J. H. Rawnsley, Noether's Theorem for harmonic maps.
  Differential Geometrical Methods in Mathematical Physics, Jerusalem, 1982. Edited by S. Sternberg. (Reidel, Dordrecht, 1984). (6 pages)
7. J. H. Rawnsley, Group representations in physics.
  Group representation and its applications, Ibadan, 1981. (C.I.M.P.A., Nice, 1985). (32 pages)
8. J. H. Rawnsley, Twistor Methods.
  Differential Geometry, Lyngby 1985. Edited by V.L. Hansen. Lecture Notes in Mathematics 1263 (Springer-Verlag, Berlin, 1987). (37 pages)
9. P. A. Horvathy and J. H. Rawnsley, On the stability of monopoles.
  Proceedings of the XVth International Conference on Differential Geometrical Methods in Theoretical Physics. Edited by H. Doebner. (World Scientific, Singapore, 1987)
10. J. H. Rawnsley, Self-duality conditions satisfied by the spin connections of spheres.
  Proceedings of The Conference on Spinors in Geometry and Physics, Trieste, September, 1986. (World Scientific, Singapore, 1988). (10 pages)
11. J. H. Rawnsley, Stability of harmonic maps into symmetric spaces.
  Proceedings of the `Colloque Applications Harmoniques', CIRM, Luminy 1986. Edited by P. Gauduchon. Advanced Series in Mathematical Physics 4 (World Scientific, Singapore, 1988). (7 pages)
12. J. H. Rawnsley, Harmonic 2-spheres.
  Proceedings of the Colloquium ``Quantum Theories and Geometry'', Fondation des Treilles, Tourtour, 1987. Edited by M. Cahen and M. Flato. Mathematical Physics Studies 10 (Kluwer, Dordrecht, 1988). (15 pages)
13. J. H. Rawnsley, Twistor Theory for Riemannian manifolds.
  Proceedings of the Workshop on Representations of Lie Groups and Applications, Córdoba, August, 1989. Edited by Juan Tirao and Nolan Wallach. Progress in Mathematics 105 (Birkhäuser, Boston, 1992). (14 pages)
14. J. H. Rawnsley, Quantization of Kähler manifolds.
  Proceedings of the XIXth Conference on Differential Geometrical Methods in Mathematical Physics, Rapallo, June 1990. Edited by C Bartocci, U Bruzzo, R Cianci. Lecture Notes in Physics 375 (Springer-Verlag, Berlin, 1991). (6 pages)
15. J. H. Rawnsley, Deformation Quantization of Kähler manifolds.
  Symplectic Geometry and Mathematical Physics, Aix-en-Provence, June 1990. Edited by P. Donato, C. Duval, J. Elhadad, G. M. Tuynman Progress in Mathematics 99 (Birkäuser, Boston, 1991). (8 pages)
16. J. Rawnsley, Tangential quantization of the coadjoint Poisson structure.
  Lie Theory and its Applications in Physics, Clausthal, August 1995. Eds H.-D. Doebner, V.K. Dobrev, J. Hilgert. World Scientific, Singapore, 1996. (7 pages)
17. S. Gutt and J. Rawnsley, Deformation Quantization and Mpc structures.
  Deformation Theory and Symplectic Geometry. Proceedings of Ascona Meeting, June 1996. Mathematical Physics Studies, volume 20, Kluwer, Dordrecht, 1997, 103–115.
18. M. Cahen, S. Gutt and J. Rawnsley, Symmetric symplectic spaces with Ricci-type curvature.
  Conférence Moshé Flato. Dijon, July, 1999. 81–91, Math. Phys. Stud., 22, Kluwer Acad. Publ., Dordrecht, 2000.
19. J. Rawnsley, Lectures on symmetries of star products.
  In: UK–Japan Winter School 2004; Geometry and Analysis Towards Quantum Theory. Seminar on Mathematical Sciences, Keio University 30 (2004) 37–49. A video of the lectures is also published on DVD.

Books and monographs

1. J. H. Rawnsley, Differential geometry of instantons.
  Communications of the Dublin Institute for Advanced Studies Series A (Theoretical Physics) 25 (1978) 1–73.
2. F. E. Burstall and J. H. Rawnsley Twistor theory for Riemannian symmetric spaces (with applications to harmonic maps).
  Lecture Notes in Mathematics 1424 (Springer-Verlag, Berlin, 1990) (112 pages)
3. Deformation Theory and Symplectic Geometry . Edited by D. Sternheimer, J. Rawnsley and S. Gutt. Mathematical Physics Studies vol. 20, Kluwer, Dordrecht, 1997. (334 pages)
4. Poisson Geometry, Deformation Quantisation and Group Representations. Edited by Simone Gutt, John Rawnsley and Daniel Sternheimer. London Mathematical Society Lecture Notes vol. 323. Cambridge University Press, 2005. (358 pages)

Articles only appearing on the arXiv

1. John Rawnsley, Compact Coadjoint Orbits.
  arXiv:math/0306336v1 [math.RT]Link opens in a new window (2003)
2. Francis Burstall and John Rawnsley, Affine connections with W=0.
  arXiv:math/0702032v2 [math.DG]Link opens in a new window (2007)

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