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Equivariant
characteristic classes of external and symmetric products of
varieties
Laurenţiu Maxim and Jörg Schürmann |
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Geometry & Topology 22 (2018) 471–515
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Abstract |
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We obtain refined generating series formulae for equivariant characteristic classes of external and symmetric products of singular complex quasiprojective varieties. More concretely, we study equivariant versions of Todd, Chern and Hirzebruch classes for singular spaces, with values in delocalized Borel–Moore homology of external and symmetric products. As a byproduct, we recover our previous characteristic class formulae for symmetric products and obtain new equivariant generalizations of these results, in particular also in the context of twisting by representations of the symmetric group. |
Keywords
characteristic classes, orbifold classes, Hirzebruch– and
Lefschetz–Riemann–Roch, external and symmetric products of
varieties, generating series, representations of symmetric
groups
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Mathematical Subject Classification 2010
Primary: 55S15, 57R20
Secondary: 20C30
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References |
Publication
Received: 23 February 2016
Revised: 22 March 2017
Accepted: 2 May 2017
Published: 31 October 2017
Proposed: Jim Bryan
Seconded: Dan Abramovich, Ralph Cohen
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Authors |
| Laurenţiu Maxim | |
| Department of Mathematics University of Wisconsin-Madison Madison, WI United States |
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| http://www.math.wisc.edu/~maxim/ | |
| Jörg Schürmann | |
| Mathematische Institut Universität Münster Münster Germany |
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| http://wwwmath.uni-muenster.de/u/jschuerm | |
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