Events at Physics

<< Spring 2022 Summer 2022 Fall 2022 >>
Subscribe your calendar or receive email announcements of events
Thesis Defense
Constructing an Extended TFT from an A-infinity Algebra
Date: Friday, August 26th
Time: 11:00 am
Speaker: Weng-Him Cheung , Physics PhD Graduate Student
Abstract: It is known that the category of 2-dimensional topological (quantum) field theories is equivalent to the category of commutative Frobenius algebras. Costello extended this equivalence to cyclic A-infinity algebras by introducing what he called topological conformal field theories, though he did not provide a construction. Kontsevich and Soibelman later sketched a formula for constructing a positive-boundary 2-dimensional topological field theory from a cyclic A-infinity algebra, but they only provided rough ideas. Following their work, we present the explicit construction in full detail. In particular, we describe a procedure for computing the correct signs, which had previously not been discussed.
Host: Andrei Caldararu
Add this event to your calendar