Computing twisted signatures and L-classes of stratified spaces

Markus Banagl, Sylvain Cappell, Julius L. Shaneson

Research output: Contribution to journalArticle

Abstract

This paper establishes an Atiyah-type characteristic class formula for both the twisted signature and the twisted L-classes of a singular space. The result, in its present form, applies to coefficient systems that satisfy a transversality condition near the singularities. This condition is frequently automatically satisfied, e.g. on supernormal spaces or for local systems arising in certain geometric mapping situations. We obtain applications to stratified maps by combining our formula with the Cappell-Shaneson signature formula.

Original languageEnglish (US)
Pages (from-to)589-623
Number of pages35
JournalMathematische Annalen
Volume326
Issue number3
StatePublished - Jul 2003

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Stratified Space
Signature
Computing
Transversality Condition
Characteristic Classes
Local System
Michael Francis Atiyah
Singularity
Coefficient
Class

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Banagl, M., Cappell, S., & Shaneson, J. L. (2003). Computing twisted signatures and L-classes of stratified spaces. Mathematische Annalen, 326(3), 589-623.

Computing twisted signatures and L-classes of stratified spaces. / Banagl, Markus; Cappell, Sylvain; Shaneson, Julius L.

In: Mathematische Annalen, Vol. 326, No. 3, 07.2003, p. 589-623.

Research output: Contribution to journalArticle

Banagl, M, Cappell, S & Shaneson, JL 2003, 'Computing twisted signatures and L-classes of stratified spaces', Mathematische Annalen, vol. 326, no. 3, pp. 589-623.
Banagl M, Cappell S, Shaneson JL. Computing twisted signatures and L-classes of stratified spaces. Mathematische Annalen. 2003 Jul;326(3):589-623.
Banagl, Markus ; Cappell, Sylvain ; Shaneson, Julius L. / Computing twisted signatures and L-classes of stratified spaces. In: Mathematische Annalen. 2003 ; Vol. 326, No. 3. pp. 589-623.
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