8 citations · 8 across the 10 of their papers we have counts for
10 papers
Computing the maps on ECH of prequantization bundles
Guanheng Chen
The purpose of this paper is to study the -module structure of the embedded contact homology of a class of prequantization circle bundles over closed symplectic surfaces. We ass…
On aspherical symplectic fillings with finite capacities of the prequantization bundles
Guanheng Chen
A prequantization bundle is a negative circle bundle over a symplectic surface together with a contact form induced by a S1-invariant connection. Given a symplectically aspherical…
Stability of the braid types defined by the symplecticmorphisms preserving a link
Guanheng Chen
Fix a suitable link on the disk. Recently, F. Morabito associates each Hamiltonian symplecticmorphism preserving the link to a braid type. Based on this construction, Morabito defi…
Symplectic embeddings of balls into disk prequantization bundles
Guanheng Chen
A prequantization bundle is a circle bundle over a symplectic surface with negative Euler class. A connection 1-form induces a natural contact form on such a bundle. The purpose of…
On PFH and HF spectral invariants
Guanheng Chen
For a closed symplectic surface, there are two types of spectral invariants: one defined by periodic Floer homology (PFH) and another by quantitative Heegaard Floer homology (QHF).…
Closed-open morphisms on periodic Floer homology
Guanheng Chen
In this note, we investigate homomorphisms from the periodic Floer homology (PFH) to the quantitative Heegaard Floer homology. We call the homomorphisms closed-open morphisms. Unde…
Local behaviour of sequences of three-dimensional generalised monopoles
Guanheng Chen
The purpose of this paper is to study the behaviour of sequences of generalised monopoles with a uniform bound on a certain L2-norm. We focus on the case that the target hyperKahle…
Cobordism maps on periodic Floer homology induced by elementary Lefschetz fibrations
Guanheng Chen
Periodic Floer homology (PFH) is a Gromov-Floer type invariant for fibered three-manifolds with Hamiltonian structures. The cobordism maps on periodic Floer homology induced by sym…
On cobordism maps on periodic Floer homology
Guanheng Chen
In this article, we investigate the cobordism maps on periodic Floer homology (PFH). In the first part of the paper, we define the cobordism maps on PFH via Seiberg Witten theory a…
An alternative definition of cobordism map of ECH
Guanheng Chen
In this article, we reformulate the cobordism map of embedded contact homology, which is induced by exact symplectic cobordism and defined as direct limit of homomorphisms called f…