Geometry & Topology
- Geom. Topol.
- Volume 22, Number 1 (2018), 471-515.
Equivariant characteristic classes of external and symmetric products of varieties
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.
Geom. Topol., Volume 22, Number 1 (2018), 471-515.
Received: 23 February 2016
Revised: 22 March 2017
Accepted: 2 May 2017
First available in Project Euclid: 20 December 2017
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Maxim, Laurenţiu; Schürmann, Jörg. Equivariant characteristic classes of external and symmetric products of varieties. Geom. Topol. 22 (2018), no. 1, 471--515. doi:10.2140/gt.2018.22.471. https://projecteuclid.org/euclid.gt/1513774917