Generating functions of orbifold Chern classes I: symmetric products

Autor:	Toru Ohmoto
Rok vydání:	2008
Předmět:	Algebra Pure mathematics Finite group Morphism Chern class Wreath product General Mathematics Equivariant map Todd class Characteristic class Orbifold Mathematics
Zdroj:	Mathematical Proceedings of the Cambridge Philosophical Society. 144:423-438
ISSN:	1469-8064 0305-0041
Popis:	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 “Dey–Wohlfahrt type formula“ for equivariant Chern–Schwartz–MacPherson classes associated to Gn-representations of A (Theorem 1ċ1 and 1ċ2). When X is a point, our formula is just the classical one in group theory generating numbers |Hom(A, Gn)|.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::584e688682242c201a3ae74aede249ea https://doi.org/10.1017/s0305004107000898 Zobrazit plný text záznamu