Simplicial volume of links from link diagrams
Geometric Topology
2019-02-20 v2
Abstract
The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a link diagram, and a suitable 3-punctured sphere is present in the complement. We generalize this to the simplicial volume of link complements by analyzing the corresponding toroidal decompositions. We then use it to prove a refined upper bound for the volume in terms of twists of various lengths for links.
Keywords
Cite
@article{arxiv.1512.08316,
title = {Simplicial volume of links from link diagrams},
author = {Oliver Dasbach and Anastasiia Tsvietkova},
journal= {arXiv preprint arXiv:1512.08316},
year = {2019}
}
Comments
8 pages, 6 figures