A Stringy Product on Twisted Orbifold K-theory
Alejandro Adem, Yongbin Ruan, Bin Zhang
TL;DR
This paper introduces an associative stringy product for twisted orbifold K-theory, expanding the algebraic structure on the K-theory of inertia orbifolds under specific twisting conditions.
Contribution
It defines a new associative product on twisted orbifold K-theory, specifically on the inertia orbifold, under the assumption that the twisting gerbe is in the inverse transgression image.
Findings
Defines an associative stringy product for twisted orbifold K-theory
Applicable to inertia orbifolds with specific twisting gerbes
Enhances algebraic structures in orbifold K-theory
Abstract
In this paper we define an associative stringy product for the twisted orbifold K-theory of a compact, almost complex orbifold X. This product is defined on the twisted K-theory of the inertia orbifold of X, where the twisting gerbe is assumed to be in the image of the inverse transgression map.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry