Heegaard Floer Homology and Balanced Presentations of Groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866929560343281664 |
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| author | Bagherifard, Neda Boroojerdian, Nasser |
| author_facet | Bagherifard, Neda Boroojerdian, Nasser |
| contents | Let $G$ be a group with a finite balanced presentation $P$. We associate a Heegaard Floer homology group $\widehat{HF}_P(G)$ with the pair $(G,P)$ based on some extra choices and technical assumptions. We show that $\widehat{HF}_P(G)$ is independent from these choices and also is invariant under stable Andrews-Curtis transformations on $P$, based on two claims which are not settled in this paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_07939 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Heegaard Floer Homology and Balanced Presentations of Groups Bagherifard, Neda Boroojerdian, Nasser Geometric Topology Let $G$ be a group with a finite balanced presentation $P$. We associate a Heegaard Floer homology group $\widehat{HF}_P(G)$ with the pair $(G,P)$ based on some extra choices and technical assumptions. We show that $\widehat{HF}_P(G)$ is independent from these choices and also is invariant under stable Andrews-Curtis transformations on $P$, based on two claims which are not settled in this paper. |
| title | Heegaard Floer Homology and Balanced Presentations of Groups |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/1810.07939 |