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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$\cal L$-classes on pseudomanifolds
with one singular stratum


Author: Shing-Wai Chan
Journal: Proc. Amer. Math. Soc. 125 (1997), 1955-1968
MSC (1991): Primary 19D55; Secondary 58G12
MathSciNet review: 1327001
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Abstract: We study the index theorem and Chern character of an admissible pseudomanifold $X^{\dagger }$ with one singular stratum. Under a condition on the link, we give a de Rham type realization of the Goresky-MacPherson-Siegel $\cal L$-classes on $X^{\dagger }$ in terms of curvature forms and eta invariant of the link.


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Additional Information

Shing-Wai Chan
Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
Email: swchan@math.ohio-state.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03386-8
PII: S 0002-9939(97)03386-8
Received by editor(s): January 17, 1995
Received by editor(s) in revised form: March 13, 1995, and January 31, 1996
Communicated by: Peter W. K. Li
Article copyright: © Copyright 1997 American Mathematical Society