Hai-Long Her

activity

20072024

most citedA Double Poisson Algebra Structure on Fukaya Categories

2 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

math.SG2024

On the Maslov-type index for general paths of symplectic matrices

Hai-Long Her, Qiyu Zhong

In this article, we define an index of Maslov type for general symplectic paths which have two arbitrary end points. This Maslov-type index is a partial generalization of the Conle…

math.SG2022

Sum of Hamiltonian manifolds

Bohui Chen, Hai-Long Her, Bai-Ling Wang

For any compact connected Lie group $G$ , we study the Hamiltonian sum of two compact Hamiltonian group $G$ -manifolds $(X^{+}, ω^{+}, μ^{+})$ and $(X^{-}, ω^{-}, μ^{-})$ with a common codimension 2…

math.SG2015★ 2 cited

A Double Poisson Algebra Structure on Fukaya Categories

Xiaojun Chen, Hai-Long Her, Shanzhong Sun +1

Let $M$ be an exact symplectic manifold with $c_{1} (M) = 0$ . Denote by $Fuk (M)$ the Fukaya category of $M$ . We show that the dual space of the bar construction of $\mathrm{Fuk…

math.SG2012

Cyclic Homology of Fukaya Categories and the Linearized Contact Homology

Xiaojun Chen, Hai-Long Her, Shanzhong Sun

Let $M$ be an exact symplectic manifold with contact type boundary such that $c_{1} (M) = 0$ . In this paper we show that the cyclic cohomology of the Fukaya category of $M$ has the stru…

math.SG2008★ 1 cited

Relatively Open Gromov-Witten Invariants for Symplectic Manifolds of Lower Dimensions

Hai-Long Her

Let $(X, ω)$ be a compact symplectic manifold, $L$ be a Lagrangian submanifold and $V$ be a codimension 2 symplectic submanifold of $X$ , we consider the pseudoholomorphic maps from…

math.SG2007

Floer Homology for Symplectomorphism

Hai-Long Her

Let (M,ω) be a compact symplectic manifold, and ϕbe a symplectic diffeomorphism on M, we define a Floer-type homology FH_*(ϕ) which is a gen- eralization of Floer homology for symp…

math.SG2007

Symplectic Energy and Lagrangian Intersection Under Legendrian Deformations

Hai-Long Her

Let M be a compact symplectic manifold, and L be a closed Lagrangian submanifold which can be lifted to a Legendrian submanifold in the contactization of M. For any Legendrian defo…