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A computation of the ring structure in wrapped Floer homology

2019/04/15 by Hanwool Bae, Bae, Hanwool, Myeonggi Kwon +1
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1904.06894

openalex publication_date 2019/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an explicit computation of the ring structure in wrapped Floer homology of a class of real Lagrangians in Ak-type Milnor fibers. In the Ak-type plumbing description, those Lagrangians correspond to the cotangent fibers or the diagonal Lagrangians. The main ingredient of the computation is to apply a version of the Seidel representation. For a technical reason, we first carry out computations in v-shaped wrapped Floer homology, and this in turn gives the desired ring structure via the Viterbo transfer map.

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