Tour of bordered Floer theory
Heegaard Floer theory is a kind of topological quantum field theory (TQFT), assigning graded groups to closed, connected, oriented 3-manifolds and group homomorphisms to smooth, oriented four-dimensional cobordisms. Bordered Heegaard Floer homology is an extension of Heegaard Floer homology to 3-man...
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| Veröffentlicht in: | Proceedings of the National Academy of Sciences - PNAS 2011-05, Vol.108 (20), p.8085-8092 |
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| container_title | Proceedings of the National Academy of Sciences - PNAS |
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| creator | Lipshitz, Robert Ozsváth, Peter S Thurston, Dylan P |
| description | Heegaard Floer theory is a kind of topological quantum field theory (TQFT), assigning graded groups to closed, connected, oriented 3-manifolds and group homomorphisms to smooth, oriented four-dimensional cobordisms. Bordered Heegaard Floer homology is an extension of Heegaard Floer homology to 3-manifolds with boundary, with extended-TQFT-type gluing properties. In this survey, we explain the formal structure and construction of bordered Floer homology and sketch how it can be used to compute some aspects of Heegaard Floer theory. |
| doi_str_mv | 10.1073/pnas.1019060108 |
| format | Article |
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| ispartof | Proceedings of the National Academy of Sciences - PNAS, 2011-05, Vol.108 (20), p.8085-8092 |
| issn | 0027-8424 1091-6490 |
| language | eng |
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| source | Jstor Complete Legacy; PubMed Central; Alma/SFX Local Collection; Free Full-Text Journals in Chemistry |
| subjects | Algebra Curves Homeomorphism LOW DIMENSIONAL GEOMETRY AND TOPOLOGY SPECIAL FEATURE Mathematical surfaces Physical Sciences Polynomials quantum dots Quantum field theory quantum mechanics Subalgebras surveys Tensors Topological manifolds Topology |
| title | Tour of bordered Floer theory |
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