Involutive Heegaard Floer homology and plumbed three-manifolds
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866916368995057664 |
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| author | Dai, Irving Manolescu, Ciprian |
| author_facet | Dai, Irving Manolescu, Ciprian |
| contents | We compute the involutive Heegaard Floer homology of the family of three-manifolds obtained by plumbings along almost-rational graphs. (This includes all Seifert fibered homology spheres.) We also study the involutive Heegaard Floer homology of connected sums of such three-manifolds, and explicitly determine the involutive correction terms in the case that all of the summands have the same orientation. Using these calculations, we give a new proof of the existence of an infinite-rank subgroup in the three-dimensional homology cobordism group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1704_02020 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Involutive Heegaard Floer homology and plumbed three-manifolds Dai, Irving Manolescu, Ciprian Geometric Topology 57R58 (Primary), 57M27 (Secondary) We compute the involutive Heegaard Floer homology of the family of three-manifolds obtained by plumbings along almost-rational graphs. (This includes all Seifert fibered homology spheres.) We also study the involutive Heegaard Floer homology of connected sums of such three-manifolds, and explicitly determine the involutive correction terms in the case that all of the summands have the same orientation. Using these calculations, we give a new proof of the existence of an infinite-rank subgroup in the three-dimensional homology cobordism group. |
| title | Involutive Heegaard Floer homology and plumbed three-manifolds |
| topic | Geometric Topology 57R58 (Primary), 57M27 (Secondary) |
| url | https://arxiv.org/abs/1704.02020 |