Fourier transforms and integer homology cobordism
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866929634206023680 |
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| author | Eismeier, Mike Miller |
| author_facet | Eismeier, Mike Miller |
| contents | We explore the Fourier transform of the Heegaard Floer $d$-invariants, which is particularly well-behaved with respect to connected sum. As corollaries, we show that lens spaces are cancellable in the monoid of 3-manifolds up to integer homology cobordism, and we recover a theorem of González-Acuña--Short on Alexander polynomials of knots with reducible surgeries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_07029 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fourier transforms and integer homology cobordism Eismeier, Mike Miller Geometric Topology 57K32, 57R90 We explore the Fourier transform of the Heegaard Floer $d$-invariants, which is particularly well-behaved with respect to connected sum. As corollaries, we show that lens spaces are cancellable in the monoid of 3-manifolds up to integer homology cobordism, and we recover a theorem of González-Acuña--Short on Alexander polynomials of knots with reducible surgeries. |
| title | Fourier transforms and integer homology cobordism |
| topic | Geometric Topology 57K32, 57R90 |
| url | https://arxiv.org/abs/2206.07029 |