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- W3098461947 abstract "We demonstrate an isomorphism between the homology of the strand algebra of bordered Floer homology, and the category algebra of the contact category introduced by Honda. This isomorphism provides a direct correspondence between various notions of Floer homology and arc diagrams, on the one hand, and contact geometry and topology on the other. In particular, arc diagrams correspond to quadrangulated surfaces, idempotents correspond to certain basic dividing sets, strand diagrams correspond to contact structures, and multiplication of strand diagrams corresponds to stacking of contact structures. The contact structures considered are cubulated, and the cubes are shown to behave equivalently to local fragments of strand diagrams." @default.
- W3098461947 created "2020-11-23" @default.
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- W3098461947 date "2019-04-08" @default.
- W3098461947 modified "2023-09-23" @default.
- W3098461947 title "Strand algebras and contact categories" @default.
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- W3098461947 doi "https://doi.org/10.2140/gt.2019.23.637" @default.
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