Gerbes, Clifford modules and the index theorem

Annals of Global Analysis and Geometry

Volumn 26, Issue 4, 2004, Pages 355-367

  Murray, Michael K ^a   Singer, Michael A ^b  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Clifford modules; Dirac operator; gerbes; index theory; twisted K theory

Indexed keywords

EID: 8644271683     PISSN: 0232704X     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:AGAG.0000047514.71785.96     Document Type: Article

References (7)

1. Aristide, T.: An Atiyah-Singer theorem for gerbes, math.DG/0302050.
2. Atiyah, M. F. and Singer, I. M.: The index of elliptic operators on compact manifolds, Bull. Amer. Math. Soc. 69 (1963), 422-433.
3. Atiyah, M. F. and Singer, I. M.: The index of elliptic operators I, Ann. Math. 87 (1968), 484-530.
4. Berline, N., Getzler, E. and Verge, M.: Heat Kernels and Dirac Operators, Grandle. Math. Wiss. 298, Springer-Verlag, New York, 1992.
5. Bouwknegt, P., Carey, A. L., Mathai, V., Murray, M. K. and Stevenson, D.: Twisted K-theory and K-theory of bundle gerbes, Comm. Math. Phys. 228 (1), (2002), 17-49.
6. Mathai, V., Melrose, R. B. and Singer, I. M.: The index of projective families of elliptic operators, math.DG/0206002.
7. Murray, M. K.: Bundle gerbes, J. London Math. Soc. (2) 54 (2) (1996), 403-416.