$PSL_2(\mathbb{C})$-character varieties and Seifert fibered cosmetic surgeries

Huygens C. Ravelomanana

doi:10.1016/j.topol.2018.07.006

paper

$P S L_{2} (C)$ -character varieties and Seifert fibered cosmetic surgeries

arXiv:1701.07384 · doi:10.1016/j.topol.2018.07.006

Abstract

We study small Seifert possibly chiral cosmetic surgeries on not necessarily null-homologous knot in rational homology spheres. Using $P S L_{2} (C)$ -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.

10 pages

References in corpus (1)

Exceptional Cosmetic surgeries on $S^{3}$

PSL2​(C)-character varieties and Seifert fibered cosmetic surgeries

Abstract

References in corpus (1)

$P S L_{2} (C)$ -character varieties and Seifert fibered cosmetic surgeries