Stringy product on twisted orbifold K-theory for abelian quotients

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dc.creatorBecerra, Edward
dc.creatorUribe, Bernardo
dc.date2007-06-21
dc.date2008-02-15
dc.date.accessioned2026-07-07T09:20:38Z
dc.date.available2026-07-07T09:20:38Z
dc.descriptionIn this paper we present a model to calculate the stringy product on twisted orbifold K-theory of Adem-Ruan-Zhang for abelian complex orbifolds. In the first part we consider the non-twisted case on an orbifold presented as the quotient of a manifold acted by a compact abelian Lie group. We give an explicit description of the obstruction bundle, we explain the relation with the product defined by Jarvis-Kaufmann-Kimura and, via a Chern character map, with the Chen-Ruan cohomology, and we explicitely calculate the stringy product for a weighted projective orbifold. In the second part we consider orbifolds presented as the quotient of a manifold acted by a finite abelian group and twistings coming from the group cohomology. We show a decomposition formula for twisted orbifold K-theory that is suited to calculate the stringy product and we use this formula to calculate two examples when the group is $(\integer/2)^3$.
dc.description23 pages. A chapter on the stringy product on twisted orbifold K-theory has been added, including a decomposition formula and examples with non trivial twisting. The title has been changed accordingly. To appear in TAMS
dc.identifierhttps://arxiv.org/abs/0706.3229
dc.identifierhttp://arxiv.org/abs/0706.3229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154782
dc.subjectAlgebraic Topology
dc.subjectAlgebraic Geometry
dc.subject14N35, 19L47, 55N15, 55N91
dc.titleStringy product on twisted orbifold K-theory for abelian quotients
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