Genus two mutant knots with the same dimension in knot Floer and Khovanov homologiesReport as inadecuate



 Genus two mutant knots with the same dimension in knot Floer and Khovanov homologies


Genus two mutant knots with the same dimension in knot Floer and Khovanov homologies - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Genus two mutant knots with the same dimension in knot Floer and Khovanov homologies
We exhibit an infinite family of knots with isomorphic knot Heegaard Floer homology. Each knot in this infinite family admits a nontrivial genus two mutant which shares the same total dimension in both knot Floer homology and Khovanov homology. Each knot is distinguished from its genus two mutant by both knot Floer homology and Khovanov homology as bigraded groups. Additionally, for both knot Heegaard Floer homology and Khovanov homology, the genus two mutation interchanges the groups in $\delta$-gradings $k$ and $-k$.



Author: Allison Moore; Laura Starkston

Source: https://archive.org/







Related documents