Equivalence of different definitions of higher $ρ$ invariants
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866913585460936704 |
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| author | Liu, Hongzhi Xie, Zhizhang Yu, Guoliang |
| author_facet | Liu, Hongzhi Xie, Zhizhang Yu, Guoliang |
| contents | For each orientation-preserving homotopy equivalence between two closed oriented smooth manifolds, there are mainly two different approaches to the higher $ρ$ invariant associated to this homotopy equivalence. In this article, we show that these two definitions of the higher $ρ$ invariant are equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivalence of different definitions of higher $ρ$ invariants Liu, Hongzhi Xie, Zhizhang Yu, Guoliang Algebraic Topology Operator Algebras For each orientation-preserving homotopy equivalence between two closed oriented smooth manifolds, there are mainly two different approaches to the higher $ρ$ invariant associated to this homotopy equivalence. In this article, we show that these two definitions of the higher $ρ$ invariant are equivalent. |
| title | Equivalence of different definitions of higher $ρ$ invariants |
| topic | Algebraic Topology Operator Algebras |
| url | https://arxiv.org/abs/2411.16716 |