In-person only.
Contact: Viktoriya Ozornova (viktoriya.ozornova@mpim...)
The structure of homotopy associative algebra, or A-infinity algebra, is encoded by a family of polytopes named associahedra. Morphisms between A-infinity algebras are encoded by another family of polytopes, first introduced by Stasheff: the multiplihedra. In a joint work with Thibaut Mazuir, we define a cellular approximation of the diagonal of the multiplihedra, and describe its image combinatorially. This allows us to define a tensor product of A-infinity morphisms, compatible with that of A-infinity algebras, by explicit formulas. This result opens the doors to explicit computations in symplectic topology, in particular the study of the Fukaya category formed by products of symplectic manifolds
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/11979