3 papers
math.DG2026
Equivariant Morse-Bott cohomology through stabilization
Erkao Bao, Robi Huq, Shengzhen Ning
For closed manifolds with compact Lie group actions, we study Austin-Braam's Morse-theoretic construction of Borel equivariant cohomology using the technique of stabilization. We s…
math.SG2025
Cohomologous symplectic forms with different Gromov widths
Shengzhen Ning
We study McDuff-Salamon's Problem 46 by showing that there exist closed manifolds of dimension admitting cohomologous symplectic forms with different Gromov widths. The ex…
math.SG2022
Enumerative aspect of symplectic log Calabi-Yau divisors and almost toric fibrations
Tian-Jun Li, Jie Min, Shengzhen Ning
In this paper we are interested in the isotopy classes of symplectic log Calabi-Yau divisors in a fixed symplectic rational surface. We give several equivalent definitions and prov…