Boyu Zhang:
Equivariant Cerf theory and perturbative SU(n) Casson invariants
Zeit und Ort
Montag, 7.12.20, 16:00-17:00, vSR 404 (Lasker)
Zusammenfassung
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.