Lee filtration structure of torus links
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913623966744576 |
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| author | Ren, Qiuyu |
| author_facet | Ren, Qiuyu |
| contents | We determine the quantum filtration structure of the Lee homology of all torus links. In particular, this determines the $s$-invariant of a torus link equipped with any orientation. In the special case $T(n,n)$, our result confirms a conjecture of Pardon, as well as a conjecture of Manolescu-Marengon-Sarkar-Willis which establishes an adjunction-type inequality of the $s$-invariant for cobordisms in $k\overline{\mathbb{CP}^2}$. We also give a few applications of this adjunction inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_16089 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lee filtration structure of torus links Ren, Qiuyu Geometric Topology Quantum Algebra 57K18 (Primary) 57K10, 57K40 (Secondary) We determine the quantum filtration structure of the Lee homology of all torus links. In particular, this determines the $s$-invariant of a torus link equipped with any orientation. In the special case $T(n,n)$, our result confirms a conjecture of Pardon, as well as a conjecture of Manolescu-Marengon-Sarkar-Willis which establishes an adjunction-type inequality of the $s$-invariant for cobordisms in $k\overline{\mathbb{CP}^2}$. We also give a few applications of this adjunction inequality. |
| title | Lee filtration structure of torus links |
| topic | Geometric Topology Quantum Algebra 57K18 (Primary) 57K10, 57K40 (Secondary) |
| url | https://arxiv.org/abs/2305.16089 |