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Generalized Orbifold Euler Characteristic of Symmetric Products and Equivariant Morava K-Theory | | Hirotaka Tamanoi
; | | Date: |
27 Mar 2001 | | Journal: | Algebraic and Geometric Topology 1 (2001) 115-141 | | Subject: | Algebraic Topology; Group Theory MSC-class: 55N20, 55N91, 57S17, 57D15, 20E22, 37F20, 05A15 | math.AT math.GR | | 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 G wreath S_n 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. | | Source: | arXiv, math.AT/0103177 | | Services: | Forum | Review | PDF | Favorites | |
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