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L-Classes of Stratified Spaces

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Intersection Homology & Perverse Sheaves

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 281))

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Abstract

In this chapter we explain how the duality pairing on the middle-perversity intersection homology groups and its associated signature invariant can be used to construct characteristic L-classes in the singular setting.

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Notes

  1. 1.

    In fact, Goresky and MacPherson defined L-classes only for pseudomanifolds with only even codimension strata, e.g., irreducible complex algebraic varieties.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, Madison, WI, USA

    Laurenţiu G. Maxim

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  1. Laurenţiu G. Maxim
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Maxim, L.G. (2019). L-Classes of Stratified Spaces. In: Intersection Homology & Perverse Sheaves. Graduate Texts in Mathematics, vol 281. Springer, Cham. https://doi.org/10.1007/978-3-030-27644-7_3

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