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math.GT2021
A symplectic formula of generalized Casson invariants
Shaoyun Bai
Suppose Y is an integer homology 3-sphere, Taubes proved that the number of irreducible critical orbits of the perturbed Chern-Simons functional on Y, counted with signs, is equal…
math.GT2020★ 1 cited
Equivariant Cerf theory and perturbative Casson invariants
Shaoyun Bai, Boyu Zhang
We develop an equivariant Cerf theory for Morse functions on finite-dimensional manifolds with group actions, and adapt the technique to the infinite-dimensional setting to study t…