Orbifold cohomology for global quotients

dc.creatorFantechi, Barbara
dc.creatorGoettsche, Lothar
dc.date2001-04-23
dc.date2001-04-30
dc.date.accessioned2026-07-07T04:41:24Z
dc.date.available2026-07-07T04:41:24Z
dc.descriptionFor 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.
dc.descriptionWe correct a small sign error and add some references. 22 pages
dc.identifierhttps://arxiv.org/abs/math/0104207
dc.identifierhttp://arxiv.org/abs/math/0104207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61344
dc.subjectAlgebraic Geometry
dc.titleOrbifold cohomology for global quotients
dc.typetext

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