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Link cobordisms and functoriality in link Floer homology

Published 17 Oct 2016 in math.GT | (1610.05207v3)

Abstract: We construct cobordism maps on link Floer homology associated to decorated link cobordisms. The maps are defined on a curved chain homotopy type invariant. We describe the construction, and prove invariance. We also make a comparison with the graph TQFT for Heegaard Floer homology.

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