# A Stringy Product on Twisted Orbifold K-theory ⁄

@article{Adem2006ASP, title={A Stringy Product on Twisted Orbifold K-theory ⁄}, author={Alejandro Adem and Yongbin Ruan and Bin Zhang}, journal={arXiv: Algebraic Topology}, year={2006} }

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 ? Korb(^X) of the inertia orbifold ^X, where the twisting gerbe ? is assumed to be in the image of the inverse transgression H 4 (BX,Z) ! H 3 (B ^ X,Z).

## 24 Citations

Stringy orbifold product in K-theory for abelian global quotients

- Mathematics
- 2007

In this paper we present a model to calculate the stringy product on K-theory of Adem-Ruan-Zhang for abelian complex orbifolds when the orbifold is presented as the quotient of a manifold acted by a…

A note on holonomy of gerbes over orbifolds

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- 2013

In this paper, we generalize the construction of the inverse transgression map done by Adem, A., Ruan, Y. and Zhang, B. in [A stringy product on twisted orbifold K-theory. Morfismos, 11, 33–64…

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- 2007

In 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…

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In this paper, we define a stringy product on K � orb(X) C, the orbifold K-theory of any almost complex presentable orbifold X. We establish that under this stringy product, the delocali zed Chern…

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In this paper, we define a stringy product on K∗ orb(X) ⊗ C, the orbifold K-theory of any almost complex presentable orbifold X. We establish that under this stringy product, the delocalized Chern…

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- 2010

The aim of this paper is to exhibit an explicit non-trivial example of the twisted fusion algebra for a particular finite group. The product is defined for the group G = (Z/2)3 via the pairing θg…

CHEN-RUAN COHOMOLOGY OF COTANGENT ORBIFOLDS AND CHAS-SULLIVAN STRING TOPOLOGY

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In this paper we prove that for an almost complex orbifold, its virtual orb- ifold cohomology (16) is isomorphic as algebras to the Chen-Ruan orbifold cohomology of its cotangent orbifold.

LECTURES ON ORBIFOLDS AND GROUP COHOMOLOGY

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The topics discussed in these notes include basic properties and definitions of orbifolds, and aspects of their cohomology and K–theory. Connections to group cohomology and equivariant algebraic…

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In this thesis we exhibit an explicit non-trivial example of the twisted fusion algebra for a particular finite group. The product is defined for the group G = (Z/2)3 via the pairing θg(φ)R(G) ⊗θh(φ)…

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