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arXiv · 2009.05222

Diagonals and A-infinity Tensor Products

Robert Lipshitz·Peter Ozsváth·Dylan Thurston
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Abstract

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.

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BibTeXRIS

Robert Lipshitz, Peter Ozsváth, Dylan Thurston. 2020-09-11. Diagonals and A-infinity Tensor Products. https://doi.org/10.1556/012.2025.04333

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