Two applications of twisted Floer homology

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.

17 pages

References in corpus (4)

• Floer homology and knot complements
• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Relativity tests by complementary rotating Michelson-Morley experiments
• The twisted Floer homology of torus bundles