Non-simple genus minimizers in lens spaces
Geometric Topology
2013-05-03 v1
Abstract
Given a one-dimensional homology class in a lens space, a question related to the Berge conjecture on lens space surgeries is to determine all knots realizing the minimal rational genus of all knots in this homology class. It is known that simple knots are rational genus minimizers. In this paper, we construct many non-simple genus minimizers. This negatively answers a question of Rasmussen.
Keywords
Cite
@article{arxiv.1305.0517,
title = {Non-simple genus minimizers in lens spaces},
author = {Joshua Evan Greene and Yi Ni},
journal= {arXiv preprint arXiv:1305.0517},
year = {2013}
}
Comments
16 pages, 6 figures