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2001 Generalized orbifold Euler characteristic of symmetric products and equivariant Morava K–theory
Hirotaka Tamanoi
Algebr. Geom. Topol. 1(1): 115-141 (2001). DOI: 10.2140/agt.2001.1.115

Abstract

We introduce the notion of generalized orbifold Euler characteristic associated to an arbitrary group, and study its properties. We then calculate generating functions of higher order (p–primary) orbifold Euler characteristic of symmetric products of a G–manifold M. As a corollary, we obtain a formula for the number of conjugacy classes of d–tuples of mutually commuting elements (of order powers of p) in the wreath product GSn in terms of corresponding numbers of G. As a topological application, we present generating functions of Euler characteristic of equivariant Morava K–theories of symmetric products of a G–manifold M.

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Hirotaka Tamanoi. "Generalized orbifold Euler characteristic of symmetric products and equivariant Morava K–theory." Algebr. Geom. Topol. 1 (1) 115 - 141, 2001. https://doi.org/10.2140/agt.2001.1.115

Information

Received: 29 October 2000; Revised: 16 February 2001; Accepted: 16 February 2001; Published: 2001
First available in Project Euclid: 21 December 2017

zbMATH: 0965.57033
MathSciNet: MR1805937
Digital Object Identifier: 10.2140/agt.2001.1.115

Subjects:
Primary: 55N20, 55N91
Secondary: 05A15, 20E22, 37F20, 57D15, 57S17

Rights: Copyright © 2001 Mathematical Sciences Publishers

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