Orbifold Cohomology of A Wreath Product Orbifold
Algebraic Geometry
2007-05-23 v2
Abstract
Let X be a compact almost complex manifold with an action of a finite group G. We compute the algebra of G^n coinvariants of the stringy cohomology (math.AG/0104207) of X^n with an action of a wreath product of G. We show that it is isomorphic to the algebra A{S_n} defined by Lehn and Sorger (math.AG/0012166) where we set A to be the orbifold cohomology of [X/G]. As a consequence, we verify a special case of Ruan's cohomological hyper-kaehler conjecture (math.AG/0201123).
Keywords
Cite
@article{arxiv.math/0610269,
title = {Orbifold Cohomology of A Wreath Product Orbifold},
author = {Tomoo Matsumura},
journal= {arXiv preprint arXiv:math/0610269},
year = {2007}
}
Comments
Version 2: minor changes, with some errors corrected and references modified