On the virtual Rasmussen invariant
Geometric Topology
2017-08-29 v3
Abstract
We produce chain-level generators of the virtual Lee complex and use them to convert the computable bounds on the Rasmussen invariant of classical knots due to Kawamura and Lobb into bounds on the virtual Rasmussen invariant as defined by Dye, Kaestner, and Kauffman. We also exhibit a class of diagrams for which the bounds are tight. In addition, we use the chain-level generators to show that the virtual Rasmussen invariant is additive with respect to connect sum.
Keywords
Cite
@article{arxiv.1603.02893,
title = {On the virtual Rasmussen invariant},
author = {William Rushworth},
journal= {arXiv preprint arXiv:1603.02893},
year = {2017}
}
Comments
The results of this paper are contained within a new submission [arXiv:1706.08279]