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.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- 57M27 (primary)
- 57R56 (secondary)