Twisted equivariant quasi-elliptic cohomology and M-brane charge
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866918218022518784 |
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| author | Huan, Zhen |
| author_facet | Huan, Zhen |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2006_00554 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Twisted equivariant quasi-elliptic cohomology and M-brane charge Huan, Zhen Algebraic Topology 55N34, 55N15, 19L50 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. |
| title | Twisted equivariant quasi-elliptic cohomology and M-brane charge |
| topic | Algebraic Topology 55N34, 55N15, 19L50 |
| url | https://arxiv.org/abs/2006.00554 |