2020/05/31 by Zhen Huan, Huan, Zhen
Mathematics · #19L50 #55N15 #55N34 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2006.00554
openalex publication_date 2020/05/31 · openalex created_date 2020/06/05 · openalex updated_date 2026/07/28
In this paper we construct a twisted version of quasi-elliptic cohomology. This theory can be constructed as a K-theory of a loop space. After establishing basic properties of the theory, including restriction, change-of-group and induction maps, we construct the Chern character map. And we compute the twisted quasi-elliptic cohomology theories of representation 4-spheres acted by the finite subgroups of SU(2), which, as conjectured by Sati and Schreiber, can produce good observables on M-brane charge in a Tate-elliptic enhancement of D-brane charge in twisted equivariant K-theory.