The Gordon-Litherland pairing and its many applications
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909534373543936 |
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| author | Chrisman, Micah |
| author_facet | Chrisman, Micah |
| contents | Gordon and Litherland's paper $\textit{On the Signature of a link}$ introduced a bilinear form that simultaneously unifies both the quadratic forms of Trotter and Goeritz. This remarkable pairing of combinatorics and topology has had widespread application in low-dimensional topology. In this expository note, we give a picture proof (via Kirby diagrams) of their main result and discuss the numerous ways their theorem has been put to good use. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Gordon-Litherland pairing and its many applications Chrisman, Micah Geometric Topology 57K10 Gordon and Litherland's paper $\textit{On the Signature of a link}$ introduced a bilinear form that simultaneously unifies both the quadratic forms of Trotter and Goeritz. This remarkable pairing of combinatorics and topology has had widespread application in low-dimensional topology. In this expository note, we give a picture proof (via Kirby diagrams) of their main result and discuss the numerous ways their theorem has been put to good use. |
| title | The Gordon-Litherland pairing and its many applications |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2503.08500 |