floer homology 1geometric uniruledness 1hamiltonian diffeomorphisms 1periodic orbits 1quantum steenrod operations 1symplectic topology 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.SG2026
Quantum Steenrod powers and Hamiltonian maps
Shaoyun Bai, Egor Shelukhin, Nicholas Wilkins +1
The paper proves new results about periodic points of Hamiltonian diffeomorphisms on closed symplectic manifolds, linking properties like pseudo‑rotations and symplectically degene…
math.SG2026
Integral Hamiltonian Floer theory: Foundations
Shaoyun Bai, Guangbo Xu
Continuing our previous work on the integral Arnold conjecture, we establish the foundation of Hamiltonian Floer theory over integer coefficients on any compact symplectic manifold…
math.SG2025
A new transversality condition on orbifolds and integer-valued Gromov-Witten type invariants
Shaoyun Bai, Guangbo Xu
Following a proposal of Fukaya-Ono and the exploration by B. Parker, we introduce a new transversality condition, the FOP transversality condition, for sections of orbifold vector…