Comparing orthogonal calculus and calculus with Reality
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866929373678927872 |
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| author | Taggart, Niall |
| author_facet | Taggart, Niall |
| contents | We show that there exists a suitable $C_2$-fixed points functor from calculus with Reality to the orthogonal calculus of Weiss which recovers orthogonal calculus ``up to a shift'' in an analogous way with the recovery of real topological $K$-theory from Atiyah's $K$-theory with Reality via appropriate $C_2$-fixed points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_15660 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Comparing orthogonal calculus and calculus with Reality Taggart, Niall Algebraic Topology We show that there exists a suitable $C_2$-fixed points functor from calculus with Reality to the orthogonal calculus of Weiss which recovers orthogonal calculus ``up to a shift'' in an analogous way with the recovery of real topological $K$-theory from Atiyah's $K$-theory with Reality via appropriate $C_2$-fixed points. |
| title | Comparing orthogonal calculus and calculus with Reality |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2205.15660 |