Index theory, gerbes, and hamiltonian quantization

Communications in Mathematical Physics

Volumn 183, Issue 3, 1997, Pages 707-722

  Carey, Alan ^a   Mickelsson, Jouko ^b   Murray, Michael ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031065067     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050048     Document Type: Article

References (19)

1. [AtSi] Atiyah, M.F. and Singer, I.M.: Dirac operators coupled to vector potentials. Natl. Acad. Sci. (USA) 81, 2597 (1984)
2. [AtPaSi] Atiyah, M.F., Patodi, V.K. and Singer, I. M.: Spectral asymmetry and Riemannian Geometry, I-III. Math. Proc. Camb. Phil. Soc. 77,43 (1975); 78, 405 (1975); 79, 71 (1976)
3. [AtPaSi] Atiyah, M.F., Patodi, V.K. and Singer, I. M.: Spectral asymmetry and Riemannian Geometry, I-III. Math. Proc. Camb. Phil. Soc. 77,43 (1975); 78, 405 (1975); 79, 71 (1976)
4. [AtPaSi] Atiyah, M.F., Patodi, V.K. and Singer, I. M.: Spectral asymmetry and Riemannian Geometry, I-III. Math. Proc. Camb. Phil. Soc. 77,43 (1975); 78, 405 (1975); 79, 71 (1976)
5. [Be] Beggs, Edwin J.: The de Rham complex on infinite dimensional manifolds. Quart. J. Math. Oxford (2), 38, 131-154 (1987)
6. [Br] Brylinski, J.-L.: Loop Spaces, Characteristic Classes and Geometric Quantization. Boston-Basel-Berlin: Birkhäuser (1993)
7. [CaMu] Carey, A.L. and Murray, M.K.: In: "Confronting the Infinite", Proceedings of a Conference in Celebration of the 70th Years of H.S. Green and C.A. Hurst. Singapore: World Scientific, 1995 hep-th/9408141
8. Carey, A.L. and Murray, M.K.: Faddeev's anomaly and bundle gerbes. Lett. Math. Phys. 1995. 37, 29-36 (1996)
9. [CaMuWa] Carey, A.L., Murray, M.K. and Wang, B.: Higher bundle gerbes, descent equations and 3-Cocycles. To appear in J. Geom. and Phys. hep-th/9511169
10. [DiDo] Dixmier, J. and Douady, A.: Champs continus d'espaces hilbertiens et de C* algebres. Bull. Soc. Math. Fr. 91, 227 (1963)
11. [DoKr] Donaldson, S.K. and Kronheimer, P.B.: The Geometry of Four-Manifolds. Oxford: Clarendon Press (1990)
12. [FaSh] Faddeev, L. and Shatasvili, S.: Algebraic and hamiltonian methods in the theory of nonabelian anomalies. Theoret. Math. Phys. 60, 770 (1985)
13. Mickelsson, J.: Chiral anomalies in even and odd dimensions. Commun. Math. Phys. 97, 361 (1985)
14. [Mil] Mickelsson, J.: On the hamiltonian approach to commutator anomalies in 3 + 1 dimensions. Phys. Lett. B 241, 70 (1990)
15. [Mil] Milnor, J.: On infinite dimensional Lie groups. Preprint.
16. [Mu] Murray, M.K.: Bundle gerbes. J. of the Lond. Math. Soc. (2) 54, 403-416 (1996)
17. [NeAl] Nelson, P. and Alvarez-Gaumè, L.: Hamiltonian interpretation of anomalies. Commun. Math. Phys. 99, 103 (1985)
18. [PrSe] Pressley, A. and Segal, G.: Loop Groups. Oxford: Clarendon Press (1986)
19. [Se] Segal, G.: Faddeev's anomaly in Gauss's law. Preprint