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Intersection K-theory for isolated conical singularities

Published online by Cambridge University Press:  18 February 2011

André Legrand  and
David Poutriquet
André Legrand
Affiliation:
Université de Toulouse, Institut de Mathématiques de Toulouse (UMR 5219), 118 Route de Narbonne F-31062 Toulouse Cedex, France, [email protected]
David Poutriquet
Affiliation:
Université de Toulouse, Institut de Mathématiques de Toulouse (UMR 5219), 118 Route de Narbonne F-31062 Toulouse Cedex, France, [email protected]
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Abstract

Starting from the Karoubi multiplicative K-theory, we construct a Chern-Weil theory adapted to isolated conical singularities. The Chern character takes its values in the intersection cohomology of Goresky-MacPherson. We also propose an integer intersection K-theory for such singularities.

Keywords

Chern characterK-theoryintersection homologyconical singularities
Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 1 , February 2012 , pp. 177 - 200
Copyright
Copyright © ISOPP 2011

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