Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Periodic cyclic cohomology Chern character for pseudomanifolds with one singular stratum

Author(s): Shing-wai Chan
Journal: Proc. Amer. Math. Soc. 126 (1998), 669-675.
MSC (1991): Primary 19D55; Secondary 58G12
MathSciNet review: 1452797
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Abstract: We compute the periodic cyclic cohomology Chern character of an admissible pseudomanifold $X^{\dagger }$ with one singular stratum. As a corollary, we obtain the index theorem and spectral flow for signature operators.

References:

[BF]: J. Block and J. Fox, Asymptotic Pseudodifferential Operators and Index Theory, in Comtemp. Math. Vol. 105 (1990), 1-32. MR 91e:58186
[Chan]: S. W. Chan, $\cal L$ -classes on Pseudomanifolds with One Singular Stratum, Proc. Amer. Math. Soc. 125 (1997), 1955-1968. CMP 95:11
[Co]: A. Connes, Noncommutative Geometry, Academic Press (1994). MR 95j:46063
[CoM]: A. Connes and H. Moscovici, Transgression and the Chern Character of Finite-Dimensional K-cycles, Commun. Math. Phys. 155 (1993), 103-122. MR 95a:46091
[Ge1]: E. Getzler, Pseudodifferential Operators on Supermanifolds and the Atiyah-Singer Index Theorem, Commun. Math. Phys. 92 (1983), 163-178. MR 86a:58104
[Ge2]: E. Getzler, The Odd Chern Character in Cyclic Homology and Spectral Flow, Topology 32 No.3 (1993), 487-507. MR 95c:46118
[MW]: H. Moscovici and F.-B. Wu, Pontryagin Forms for Manifolds with Framed Singular Strata, Geom. and Func. Analysis 5 No.4 (1995), 702-728. MR 96g:58185

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