A Kunneth formula for Bredon cohomology of pullbacks and twisted K-theory of some 6-dimensional orbifolds

2015/12/09 by Germán Combariza, German Combariza, Combariza, German +3
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT

paper · pdf · doi:10.48550/arxiv.1512.03023

Some remarks added. Minor corrections

arxiv created 2016/01/20 · arxiv updated 2016/01/21

Abstract

In this paper we show a Kunneth formula for Bredon cohomology for actions of a pullback of groups. We show how this formula can be used to compute orbifold twisted K-theory for some discrete twistings. Using that result we compute orbifold K-theory for some 6-dimensional orbifolds introduced by Vafa and Witten. These examples also show the limitations of the method.

Related

• Bredon Cohomology, K theory and K homology of Pullbacks of groups
• Stringy product on twisted orbifold K-theory for abelian quotients
• Chern character for twisted K-theory of orbifolds
• Discrete torsion and twisted orbifold cohomology
• Twisted equivariant K-theory for proper actions of discrete groups