Quasi-isomorphism of grid chain complexes for a connected sum of knots

Autor:	Kubota, Hajime
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology 57K18
Druh dokumentu:	Working Paper
Popis:	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. Comment: 14 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.02610 Zobrazit plný text záznamu View this record from Arxiv