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arXiv · 2111.11891

Closed-open morphisms on periodic Floer homology

Guanheng Chen
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Abstract

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. Under certain assumptions on the Lagrangian link, we first follow R. Lipshitz's idea to give a cylindrical formulation of the quantitative Heegaard Floer homology. Then we construct the closed-open morphisms from the PFH to the quantitative Heegaard Floer homology. Moreover, we show that the morphisms are non-vanishing. As an application, we deduce a relation between the PFH-spectral invariants and the HF-spectral invariants.

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Guanheng Chen. 2021-11-23. Closed-open morphisms on periodic Floer homology. https://arxiv.org/abs/2111.11891

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