Quasi-isomorphism of grid chain complexes for a connected sum of knots
Geometric Topology
2024-04-23 v2 Algebraic Topology
Abstract
We give a purely combinatorial proof of a K\"{u}nneth formula for the minus version of knot Floer homology of connected sums by constructing a quasi-isomorphism of grid chain complexes. The quasi-isomorphism naturally deduces that the Legendrian and transverse invariants behave functorially with respect to the connected sum operation.
Keywords
Cite
@article{arxiv.2312.02610,
title = {Quasi-isomorphism of grid chain complexes for a connected sum of knots},
author = {Hajime Kubota},
journal= {arXiv preprint arXiv:2312.02610},
year = {2024}
}
Comments
14 pages, 6 figures