Orbifold Cohomology of A Wreath Product Orbifold

Details Orbifold Cohomology of A Wreath Product Orbifold Orbifold Cohomology of A Wreath Product Orbifold

2006-10-09

arxiv.org/abs/math/0610269v2

Mathematics

Algebraic Geometry

Version 2: minor changes, with some errors corrected and references modified

Scientific paper

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).

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