Seminars & Colloquia Calendar
Equivariant Cerf theory and perturbative SU(n) Casson invariants
Boyu Zhang, Princeton
Location: Via Zoom
Date & time: Tuesday, 10 November 2020 at 2:50PM - 3:50PM
Abstract: In 1985, Casson introduced an invariant for integer homology
3-spheres by counting SU(2) representations of the fundamental groups.
Boden-Herald generalized the Casson invariant to SU(3) by considering
the critical orbits of perturbed Chern-Simons functionals. In this
talk, we will present a construction of perturbative SU(n) Casson
invariant for all n. The construction is based on an equivariant
transversality argument of Wendl. This is joint work with Shaoyun Bai.