Tue, November 18, 2025
1:50 pm - 3:00 pm
Math Tower (MW) 154
Nicolas Bridges
Purdue University
Title
Quantum invariants of 4-manifolds with G-bundles
Abstract
Topological quantum field theories (TQFTs) yield quantum invariants which have proved quite powerful. Shawn Cui and collaborators defined a quantum invariant for 4-manifold from semisimple Hopf algebras which reduce to other invariants in special cases. During the talk, we will describe a generalization of this invariant for 4-manifolds with flat principal G-bundles. The construction also generalizes another invariant for G-bundles as well. Ours, however, has the power to distinguish between different bundles.