Quasi-elliptic cohomology of 4-spheres

Zhen Huan

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arXiv · 2408.02278

Quasi-elliptic cohomology of 4-spheres

Zhen Huan

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Abstract

Quasi-elliptic cohomology is conjectured by Sati and Schreiber as a particularly suitable approximation to equivariant 4-th Cohomotopy, which classifies the charges carried by M-branes in M-theory in a way that is analogous to the traditional idea that complex K-theory classifies the charges of D-branes in string theory. In this paper we compute quasi-elliptic cohomology of 4-spheres under the action by some finite subgroups that are the most interesting isotropy groups where the M5-branes may sit.

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Zhen Huan. 2024-08-05. Quasi-elliptic cohomology of 4-spheres. https://arxiv.org/abs/2408.02278

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