English

Link cobordisms and functoriality in link Floer homology

Geometric Topology 2018-11-21 v3

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.

Keywords

Cite

@article{arxiv.1610.05207,
  title  = {Link cobordisms and functoriality in link Floer homology},
  author = {Ian Zemke},
  journal= {arXiv preprint arXiv:1610.05207},
  year   = {2018}
}

Comments

112 pages. To appear in Journal of Topology