Barbara Fantechi, Lothar Goettsche
Published 2001-04-23, updated 2001-04-30Version 2
For an orbifold X which is the quotient of a manifold Y by a finite group G we construct a noncommutative ring with an action of G such that the orbifold cohomology of X as defined in math.AG/0004129 by Chen and Ruan is the G invariant part. In the case thar Y is S^n for a surface S with trivial canonical class we prove that (a small modification of) the orbifold cohomology of X is naturally isomorphic to the cohomology ring of the Hilbert scheme of n points on S computed in math.AG/0012166 by Lehn and Sorger.
Comments: We correct a small sign error and add some references. 22 pages
Torus Quotients as Global Quotients by Finite Groups
On Enriques surfaces in characteristic 2 with a finite group of automorphisms
$N-$Bundles for $N$ an extension of a finite group by an abelian group
![QR code for arXiv:math/0104207 [math.AG]](http://oss.arxitics.com/images/favicon.svg)