A computation of the ring structure in wrapped Floer homology

MATHEMATISCHE ZEITSCHRIFT(2021)

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摘要
We give an explicit computation of the ring structure in wrapped Floer homology of a class of real Lagrangians in A_k -type Milnor fibers. In the A_k -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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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_k$$\end{document} -type Milnor fibers
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