Homologically thin, non-quasi-alternating links
By J. Greene. 2009
62 citations recorded by the source corpus.
We exhibit the first examples of links which are homologically thin but not quasi-alternating. To show that they are not quasi-alternating, we argue that none of their branched double-covers bounds a negative definite 4-manifold with non-torsion H_1. Using this method, we also complete the determination of the quasi-alternating pretzel links.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a515485f9ffad268aa3ceafb1831415397b22d6a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Cables of thin knots and bordered Heegaard Floer homology (2009, background): “ve the result for the (5,16)-cable of the knot 11n50. This knot is interesting as it is the first known example of a homologically thin (with respect to HFK[, Kh and Kh ′ ), non-quasi-alternating knot [2]. Acknowledgments. I wish to thank my advisor Peter Ozsv´ath for suggesting this problem, and for”