2 papers
math.GT2026
Homological Topological Quantum Field Theories
Aleksei Andreev
We develop a new framework for quantum invariants of -manifolds by extending to cobordisms a homological construction of mapping class group representations. More specifically,…
math.GT2023
Abelian TQFTS and Schrödinger local systems
Aleksei Andreev, Anna Beliakova, Christian Blanchet
We construct an action of 3-cobordisms on the finite dimensional Schrödinger representations of the Heisenberg group by Lagrangian correspondences. In addition, we review the const…