Orbifold Cohomology of the Symmetric Product

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dc.creatorUribe, Bernardo
dc.date2001-09-18
dc.date.accessioned2026-07-07T04:43:26Z
dc.date.available2026-07-07T04:43:26Z
dc.descriptionChen and Ruan's orbifold cohomology of the symmetric product of a complex manifold is calculated. An isomorphism of rings (up to a change of signs) $H_{orb}^*(X^n/S_n;\complex) \cong H^*(X^{[n]};\complex)$ between the orbifold cohomology of the symmetric product of a smooth projective surface with trivial canonical class $X$ and the cohomology of its Hilbert scheme $X^{[n]}$ is obtained, yielding a positive answer to a conjecture of Ruan.
dc.descriptionLatex
dc.identifierhttps://arxiv.org/abs/math/0109125
dc.identifierhttp://arxiv.org/abs/math/0109125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62220
dc.subjectAlgebraic Topology
dc.subjectAlgebraic Geometry
dc.titleOrbifold Cohomology of the Symmetric Product
dc.typetext

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