Heegaard Floer homology and splicing homology spheres
| Autor: | Karakurt, Cagri, Lidman, Tye, Tweedy, Eamonn |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove a basic inequality for the d-invariants of a splice of knots in homology spheres. As a result, we are able to prove a new relation on the rank of reduced Floer homology under maps between Seifert fibered homology spheres, improving results of the first and second authors. As a corollary, a degree one map between two aspherical Seifert homology spheres is homotopic to a homeomorphism if and only if the Heegaard Floer homologies are isomorphic. Comment: 9 pages, 2 figures |
| Databáze: | arXiv |
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