Generating functions of orbifold Chern classes I: Symmetric products

Toru Ohmoto*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

In this paper, for a possibly singular complex variety X, generating functions of total orbifold Chern homology classes of the symmetric products SnX are given. These are very natural class versions of known generating function formulae of (generalized) orbifold Euler characteristics of SnX. Our Chern classes work covariantly for proper morphisms. We state the result more generally. Let G be a finite group and Gn the wreath product G Sn. For a G-variety X and a group A, we show a DeyWohlfahrt type formula for equivariant ChernSchwartzMacPherson classes associated to Gn-representations of A (Theorem 11 and 12). When X is a point, our formula is just the classical one in group theory generating numbers |Hom(A, Gn)|.

Original languageEnglish
Pages (from-to)423-438
Number of pages16
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume144
Issue number2
DOIs
Publication statusPublished - 2008 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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