Concordance invariant Υ for balanced spatial graphs using grid homology.

Autor: Kubota, Hajime
Předmět:
Zdroj: Journal of Knot Theory & Its Ramifications; Nov2023, Vol. 32 Issue 13, p1-30, 30p
Abstrakt: The Υ invariant is a concordance invariant using knot Floer homology. Földvári [The knot invariant Υ using grid homologies, J. Knot Theory Ramifications30(7) (2021) 2150051] gives a combinatorial restructure of it using grid homology. We extend the combinatorial Υ invariant for balanced spatial graphs. Regarding links as spatial graphs, we give an upper and lower bound for the Υ invariant when two links are connected by a cobordism. Also, we show that the combinatorial Υ invariant is a concordance invariant for knots. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index