Link Floer homology detects the Thurston norm

Mathematics – Geometric Topology

Scientific paper

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25 pages, 1 figure

Scientific paper

We prove that, for a link $L$ in a rational homology 3--sphere, the link
Floer homology detects the Thurston norm of its complement. This generalizes
the previous results due to Ozsv\'ath, Szab\'o and the author.

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