Slopes of links and signature formulas
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866916143946530816 |
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| author | Degtyarev, Alex Florens, Vincent Lecuona, Ana G. |
| author_facet | Degtyarev, Alex Florens, Vincent Lecuona, Ana G. |
| contents | We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We develop a number of ways of computing the slope and a few vanishing results. Besides, we discuss the concordance invariance of the slope and establish its close relation to the Conway polynomials, on the one hand, and to the Kojima--Yamasaki $η$-function (in the univariate case) and Cochran invariants, on the other hand. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_02790 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Slopes of links and signature formulas Degtyarev, Alex Florens, Vincent Lecuona, Ana G. Geometric Topology Primary: 57M27, Secondary: 57M25, 57M12 We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We develop a number of ways of computing the slope and a few vanishing results. Besides, we discuss the concordance invariance of the slope and establish its close relation to the Conway polynomials, on the one hand, and to the Kojima--Yamasaki $η$-function (in the univariate case) and Cochran invariants, on the other hand. |
| title | Slopes of links and signature formulas |
| topic | Geometric Topology Primary: 57M27, Secondary: 57M25, 57M12 |
| url | https://arxiv.org/abs/2002.02790 |