Power operations preserve Thom classes in twisted equivariant Real K-theory
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914875349925888 |
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| author | Berwick-Evans, Daniel Guo, Meng |
| author_facet | Berwick-Evans, Daniel Guo, Meng |
| contents | We construct power operations for twisted KR-theory of topological stacks. Standard algebraic properties of Clifford algebras imply that these power operations preserve universal Thom classes. As a consequence, we show that the twisted Atiyah-Bott-Shapiro orientation commutes with power operations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13031 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Power operations preserve Thom classes in twisted equivariant Real K-theory Berwick-Evans, Daniel Guo, Meng Algebraic Topology K-Theory and Homology We construct power operations for twisted KR-theory of topological stacks. Standard algebraic properties of Clifford algebras imply that these power operations preserve universal Thom classes. As a consequence, we show that the twisted Atiyah-Bott-Shapiro orientation commutes with power operations. |
| title | Power operations preserve Thom classes in twisted equivariant Real K-theory |
| topic | Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2407.13031 |