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On the cobordism invariance of the index of Dirac operators
Author(s):
Liviu
I.
Nicolaescu
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2797-2801.
MSC (1991):
Primary 58G10;
Secondary 58G20
MathSciNet review:
1402879
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Abstract:
We describe a ``tunneling'' proof of the cobordism invariance of the index of Dirac operators.
References:
- [APS]
- M.F. Atiyah, V.K. Patodi, I.M. Singer: Spectral asymmetry and Riemannian geometry I, Math. Proc. Cambridge Philos. Soc. 78(1975), p.405-432. MR 53:1655b
- [BGV]
- N. Beline, E. Getzler, M. Vergne: Heat Kernels And Dirac Operators, Springer Vrelag, Berlin, 1992. MR 94e:58130
- [BW]
- B. Boos, K. Wojciechowski: Elliptic Boundary Problems For Dirac Operators, Birckhauser, Basel, 1993. MR 94h:58168
- [K]
- T. Kato: Perturbation Theory For Linear Operators, Springer Verlag, Berlin, 1984. MR 53:11389
- [N1]
- L. I. Nicolaescu : The Maslov index, the spectral flow and decompositions of manifolds, Duke Math. J., vol. 80 (1995), p. 485-533. CMP 96:06
- [N2]
- L. I. Nicolaescu: Generalized symplectic geometries and the index of families of elliptic problems, (to appear in Mem. A.M.S.) CMP 96:12
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Additional Information:
Liviu
I.
Nicolaescu
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
Address at time of publication:
Department of Mathematics, McMaster University, Hamilton, Ontario, Canada L8S 4K1
Email:
liviu@math.lsa.umich.edu
DOI:
10.1090/S0002-9939-97-03975-0
PII:
S 0002-9939(97)03975-0
Received by editor(s):
April 22, 1996
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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