Quantum Topology Seminar
Jin-Cheng Guu
Stony Brook University, NY 11794, USA
Crane-Yetter model = Turaev shadow model
Abstract: Crane-Yetter (CY) is a 4-dimensional TQFT defined as a state
sum. To compute the CY invariant for a 4-dimensional smooth
manifold M, we only need a triangulation of M. On the other
hand, the Turaev shadow model is another invariant for
4-dimensional smooth manifold originates from statistical
mechanics. Instead of a triangulation of M, it requires a
"shadow" (a prefoam + twisting data) of M. Despite the
difference in both of their origins, nature, and definitions,
we prove that they are in fact equal.
Thursday November 17, 2022 at 12:00 PM in Zoom