Author

Shaoyun Bai

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Open access May 2024

Equivariant formality in complex-oriented theories

Abstract Let G be a product of unitary groups and let (M,ω) $(M,\omega )$ left parenthesis upper M comma omega right parenthesis be a compact symplectic manifold with Hamiltonian G-action. We prove an equivariant formality result for any complex-oriented cohomology theory E∗ $\mathbb {E}^*$ double struck upper E Su...

Shao-Yun Bai, D. Pomerleano · Forum of Mathematics, Sigma · 6 citations · ⚡1

Preprint Aug 2026

A proof of the Arnold-Givental conjecture

We prove the Arnold-Givental conjecture in full generality: given a closed symplectic manifold $(X, \omega)$, an anti-symplectic involution $\tau_X: X \to X$ with fixed point set $L={\rm Fix}(\tau_X)$, and a Hamiltonian diffeomorphism $\phi: X \to X$ such that $\phi(L)$ intersects transversely with $L$, the following i...

Shao-Yun Bai, E. Shelukhin, Yi Wang et al. · 1 citation