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COMPUTING TWISTED SIGNATURES AND L-CLASSES OF NON-WITT SPACES

Published online by Cambridge University Press:  20 February 2006

MARKUS BANAGL
MARKUS BANAGL
Affiliation:
Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 288, 69120 Heidelberg, [email protected]
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Abstract

In previous joint work with Cappell and Shaneson, we have established an Atiyah–Lusztig–Meyer-type multiplicative characteristic class formula for the twisted signature and, more generally, the twisted $L$-class, of a stratified Witt space. The present paper shows that these formulae hold even when the stratified space does not satisfy the Witt condition. It constitutes one of the first applications of signature homology.

Keywords

57R2055N33
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 2 , March 2006 , pp. 428 - 470
Copyright
2006 London Mathematical Society

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