Two applications of twisted Floer homology

Yinghua Ai; Yi Ni

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arXiv · 0809.0622

Two applications of twisted Floer homology

Yinghua Ai·Yi Ni

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Abstract

Given an irreducible closed 3--manifold $Y$, we show that its twisted Heegaard Floer homology determines whether $Y$ is a torus bundle over the circle. Another result we will prove is, if $K$ is a genus 1 null-homologous knot in an $L$--space, and the 0--surgery on $K$ is fibered, then $K$ itself is fibered. These two results are the missing cases of earlier results due to the second author.

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Yinghua Ai, Yi Ni. 2008-09-03. Two applications of twisted Floer homology. https://arxiv.org/abs/0809.0622

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