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math.GT2019
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…
math.GT2017★ 8 cited
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…
math.GT2017
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…