Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595749 | Journal of Pure and Applied Algebra | 2016 | 33 Pages |
Abstract
We define the tensor product of filtered Aâ-algebras, establish some of its properties and give a partial description of the space of bounding cochains in the tensor product. Furthermore we show that in the case of classical Aâ-algebras our definition recovers the one given by Markl and Shnider. We also give a criterion that implies that a given Aâ-algebra is quasi-isomorphic to the tensor product of two subalgebras. This will be used in a sequel to prove a Künneth Theorem for the Fukaya algebra of a product of Lagrangian submanifolds.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lino Amorim,