Grid diagrams in Heegaard Floer theory
Geometric Topology
2012-10-16 v1 Symplectic Geometry
Abstract
We review the use of grid diagrams in the development of Heegaard Floer theory. We describe the construction of the combinatorial link Floer complex, and the resulting algorithm for unknot detection. We also explain how grid diagrams can be used to show that the Heegaard Floer invariants of 3-manifolds and 4-manifolds are algorithmically computable (mod 2).
Keywords
Cite
@article{arxiv.1210.3845,
title = {Grid diagrams in Heegaard Floer theory},
author = {Ciprian Manolescu},
journal= {arXiv preprint arXiv:1210.3845},
year = {2012}
}
Comments
survey article, to appear in Proceedings of the 6th ECM