Cornered Heegaard Floer homology
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2013
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| _version_ | 1866915370726588416 |
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| author | Douglas, Christopher L. Lipshitz, Robert Manolescu, Ciprian |
| author_facet | Douglas, Christopher L. Lipshitz, Robert Manolescu, Ciprian |
| contents | Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. We construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners, and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1309_0155 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Cornered Heegaard Floer homology Douglas, Christopher L. Lipshitz, Robert Manolescu, Ciprian Geometric Topology Algebraic Topology Quantum Algebra Symplectic Geometry 57R58, 57R56 Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. We construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners, and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces. |
| title | Cornered Heegaard Floer homology |
| topic | Geometric Topology Algebraic Topology Quantum Algebra Symplectic Geometry 57R58, 57R56 |
| url | https://arxiv.org/abs/1309.0155 |