Cosmetic surgeries and non-orientable surfaces
Geometric Topology
2012-09-04 v1
Abstract
By considering non-orientable surfaces in the surgered manifolds, we show that the 10/3- and -10/3-Dehn surgeries on the 2-bridge knot are not cosmetic, i.e., they give mutually non-homeomorphic manifolds. The knot is unknown to have no cosmetic surgeries by previously known results; in particular, by using the Casson invariant and the Heegaard Floer homology.
Keywords
Cite
@article{arxiv.1209.0103,
title = {Cosmetic surgeries and non-orientable surfaces},
author = {Kazuhiro Ichihara},
journal= {arXiv preprint arXiv:1209.0103},
year = {2012}
}
Comments
6 pages, 2 figures