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Geometric Analysis Seminar

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.

Email Daniel Ketover at
dk927@rutgers.edu

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