Heegaard Floer homology of certain mapping tori
Heegaard Floer homology of certain mapping tori
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某些映射环面的 Heegaard Floer 同源性
DOI：
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发表时间：
2004
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通讯作者：
Thomas E. Mark
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作者：
Stanislav Jabuka;Thomas E. Mark
我们计算了与某些曲面微分同胚环M的Heegaard-Floer同调Hf+(M，S)，其中S是M上任何第一类为非挠的自旋c结构。设γ和δ是亏格g-Riemann曲面上的一对几何对偶不分离曲线，σ是一条分成亏格1和g-−-1的分支的曲线，记t，t-�和t表示每条曲线的右手Dehn扭.我们考虑的例子是m，n◦Z的微分同胚映射tm∈tn和t±1�的映射环面。AMS分类57R58；53D40
We calculate the Heegaard Floer homologies HF + (M, s) for mapping tori M associated to certain surface diffeomorphisms, where s is any Spin c structure on M whose first Chern class is non-torsion. Let γ and δ be a pair of geometrically dual nonseparating curves on a genus g Riemann surfaceg, and let σ be a curve separatingg into components of genus 1 and g −1. Write t, t�, and tfor the right-handed Dehn twists about each of these curves. The examples we consider are the mapping tori of the diffeomorphisms t m ◦ t n for m, n ∈ Z and that of t ±1 � . AMS Classification 57R58; 53D40