Surgery exact triangles in involutive Heegaard Floer homology
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Acceso en línea: | |
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| _version_ | 1866909673470296064 |
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| author | Hendricks, Kristen Hom, Jennifer Stoffregen, Matthew Zemke, Ian |
| author_facet | Hendricks, Kristen Hom, Jennifer Stoffregen, Matthew Zemke, Ian |
| contents | We establish a surgery exact triangle for involutive Heegaard Floer homology by using a doubling model of the involution. We use this exact triangle to give an involutive version of Ozsváth-Szabó's mapping cone formula for knot surgery. As an application, we use this surgery formula to give examples of integer homology spheres that are not homology cobordant to any linear combination of Seifert fibered spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_00113 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Surgery exact triangles in involutive Heegaard Floer homology Hendricks, Kristen Hom, Jennifer Stoffregen, Matthew Zemke, Ian Geometric Topology 57K18, 57K31, 57R58 We establish a surgery exact triangle for involutive Heegaard Floer homology by using a doubling model of the involution. We use this exact triangle to give an involutive version of Ozsváth-Szabó's mapping cone formula for knot surgery. As an application, we use this surgery formula to give examples of integer homology spheres that are not homology cobordant to any linear combination of Seifert fibered spaces. |
| title | Surgery exact triangles in involutive Heegaard Floer homology |
| topic | Geometric Topology 57K18, 57K31, 57R58 |
| url | https://arxiv.org/abs/2011.00113 |