$PSL_2(\mathbb{C})$-character varieties and Seifert fibered cosmetic surgeries
Geometric Topology
2019-01-07 v1
Abstract
We study small Seifert possibly chiral cosmetic surgeries on not necessarily null-homologous knot in rational homology spheres. Using -character variety theory we give a sharp bound on the number of slopes producing the same small Seifert manifold if the ambient manifold satisfies some representation theoretic conditions.
Keywords
Cite
@article{arxiv.1701.07384,
title = {$PSL_2(\mathbb{C})$-character varieties and Seifert fibered cosmetic surgeries},
author = {Huygens C. Ravelomanana},
journal= {arXiv preprint arXiv:1701.07384},
year = {2019}
}
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10 pages