Tuesday, November 3, 2020 10:00 AM
Shaoyun Bai (Princeton University) and Boyu Zhang (Princeton University)

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.