Unoriented Cobordism Maps on Link Floer Homology

Haofei Fan

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arXiv · 1711.07110

Unoriented Cobordism Maps on Link Floer Homology

Haofei Fan

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Abstract

We study the problem of defining maps on link Floer homology induced by unoriented link cobordisms. We provide a natural notion of link cobordism, disoriented link cobordism, which tracks the motion of index zero and index three critical points. Then we construct a map on unoriented link Floer homology associated to a disoriented link cobordism. Furthermore, we give a comparison with Oszv\'ath-Stipsicz-Szab\'o's and Manolescu's constructions of link cobordism maps for an unoriented band move.

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Haofei Fan. 2017-11-20. Unoriented Cobordism Maps on Link Floer Homology. https://arxiv.org/abs/1711.07110

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