Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Bai, Shaoyun"'
We prove a cohomological splitting result for Hamiltonian fibrations over enumeratively rationally connected symplectic manifolds As a key application, we prove that the cohomology of a smooth, projective family over a smooth (stably) rational projec
Externí odkaz:
http://arxiv.org/abs/2406.00931
Autor:
Bai, Shaoyun, Pomerleano, Daniel
Let $G$ be a product of unitary groups and let $(M,\omega)$ be a compact symplectic manifold with Hamiltonian $G$-action. We prove an equivariant formality result for any complex-oriented cohomology theory $\mathbb{E}^*$ (in particular, integral coho
Externí odkaz:
http://arxiv.org/abs/2405.05821
Autor:
Bai, Shaoyun, Xu, Guangbo
We prove that for any compact toric symplectic manifold, if a Hamiltonian diffeomorphism admits more fixed points, counted homologically, than the total Betti number, then it has infinitely many simple periodic points. This provides a vast generaliza
Externí odkaz:
http://arxiv.org/abs/2309.07991
Autor:
Bai, Shaoyun, Xu, Guangbo
For any closed symplectic manifold, we show that the number of 1-periodic orbits of a nondegenerate Hamiltonian thereon is bounded from below by a version of total Betti number over Z of the ambient space taking account of the total Betti number over
Externí odkaz:
http://arxiv.org/abs/2209.08599
Autor:
Bai, Shaoyun, Xu, Guangbo
We define an integral Euler cycle for a vector bundle $E$ over an effective orbifold $X$ for which $(E, X)$ is (stably) normally complex. The transversality is achieved by using Fukaya-Ono's "normally polynomial perturbations" and Brett Parker's gene
Externí odkaz:
http://arxiv.org/abs/2201.02688
Autor:
Bai, Shaoyun, Côté, Laurent
We study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds and pairs, and apply this invariant to various problems in algebraic and symplectic geometry. On the algebro-geometric side, we introduce a new method based on symple
Externí odkaz:
http://arxiv.org/abs/2110.10663
Autor:
Bai, Shaoyun, Swaminathan, Mohan
We define an integer-valued virtual count of embedded pseudo-holomorphic curves of two times a primitive homology class and arbitrary genus in symplectic Calabi--Yau $3$-folds, which can be viewed as an extension of Taubes' Gromov invariant. The cons
Externí odkaz:
http://arxiv.org/abs/2106.01206
Autor:
Bai, Shaoyun
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 to the algebraic intersection number of two character varieties associ
Externí odkaz:
http://arxiv.org/abs/2102.03665
Autor:
Bai, Shaoyun, Zhang, Boyu
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 the moduli space of perturbed flat $SU(n)$-connections. As a consequenc
Externí odkaz:
http://arxiv.org/abs/2009.01118
Autor:
Cao, Ziqin, Chen, Yangnan, Bai, Shaoyun, Zheng, Zhiyun, Liu, Yan, Gui, Shuangying, Shan, Shuang, Wu, Jiabao, He, Ning
Publikováno v:
In International Journal of Pharmaceutics 10 May 2023 638