On symmetries of peculiar modules; or, $δ$-graded link Floer homology is mutation invariant
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929406682857472 |
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| author | Zibrowius, Claudius |
| author_facet | Zibrowius, Claudius |
| contents | We investigate symmetry properties of peculiar modules, a Heegaard Floer invariant of 4-ended tangles which the author introduced in [arXiv:1712.05050]. In particular, we give an almost complete answer to the geography problem for components of peculiar modules of tangles. As a main application, we show that Conway mutation preserves the hat flavour of the relatively $δ$-graded Heegaard Floer theory of links. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_04267 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On symmetries of peculiar modules; or, $δ$-graded link Floer homology is mutation invariant Zibrowius, Claudius Geometric Topology Quantum Algebra Symplectic Geometry We investigate symmetry properties of peculiar modules, a Heegaard Floer invariant of 4-ended tangles which the author introduced in [arXiv:1712.05050]. In particular, we give an almost complete answer to the geography problem for components of peculiar modules of tangles. As a main application, we show that Conway mutation preserves the hat flavour of the relatively $δ$-graded Heegaard Floer theory of links. |
| title | On symmetries of peculiar modules; or, $δ$-graded link Floer homology is mutation invariant |
| topic | Geometric Topology Quantum Algebra Symplectic Geometry |
| url | https://arxiv.org/abs/1909.04267 |