A new invariant of equivariant concordance and results on 2-bridge knots
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909617147084800 |
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| author | Di Prisa, Alessio Framba, Giovanni |
| author_facet | Di Prisa, Alessio Framba, Giovanni |
| contents | We study the equivariant concordance classes of two-bridge knots, providing an easy formula to compute their butterfly polynomial, and we give two different proofs that no two-bridge knot is equivariantly slice. Finally, we introduce a new invariant of equivariant concordance for strongly invertible knots. Using this invariant as an obstruction we strengthen the result on two-bridge knots, proving that their equivariant concordance order is always infinite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_08794 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A new invariant of equivariant concordance and results on 2-bridge knots Di Prisa, Alessio Framba, Giovanni Geometric Topology 57K10 (Primary), 57R85 (Secondary) We study the equivariant concordance classes of two-bridge knots, providing an easy formula to compute their butterfly polynomial, and we give two different proofs that no two-bridge knot is equivariantly slice. Finally, we introduce a new invariant of equivariant concordance for strongly invertible knots. Using this invariant as an obstruction we strengthen the result on two-bridge knots, proving that their equivariant concordance order is always infinite. |
| title | A new invariant of equivariant concordance and results on 2-bridge knots |
| topic | Geometric Topology 57K10 (Primary), 57R85 (Secondary) |
| url | https://arxiv.org/abs/2303.08794 |