Diagonals and A-infinity Tensor Products
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866911218511380480 |
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| author | Lipshitz, Robert Ozsváth, Peter Thurston, Dylan |
| author_facet | Lipshitz, Robert Ozsváth, Peter Thurston, Dylan |
| contents | Extending work of Saneblidze-Umble and others, we use diagonals for the associahedron and multiplihedron to define tensor products of A-infinity algebras, modules, algebra homomorphisms, and module morphisms, as well as to define a bimodule analogue of twisted complexes (type DD structures, in the language of bordered Heegaard Floer homology) and their one- and two-sided tensor products. We then give analogous definitions for 1-parameter deformations of A-infinity algebras; this involves another collection of complexes. These constructions are relevant to bordered Heegaard Floer homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_05222 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Diagonals and A-infinity Tensor Products Lipshitz, Robert Ozsváth, Peter Thurston, Dylan Rings and Algebras Geometric Topology Symplectic Geometry Extending work of Saneblidze-Umble and others, we use diagonals for the associahedron and multiplihedron to define tensor products of A-infinity algebras, modules, algebra homomorphisms, and module morphisms, as well as to define a bimodule analogue of twisted complexes (type DD structures, in the language of bordered Heegaard Floer homology) and their one- and two-sided tensor products. We then give analogous definitions for 1-parameter deformations of A-infinity algebras; this involves another collection of complexes. These constructions are relevant to bordered Heegaard Floer homology. |
| title | Diagonals and A-infinity Tensor Products |
| topic | Rings and Algebras Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2009.05222 |