On adjoint homological Selmer modules for SL$_2$-representations of knot groups
Geometric Topology
2022-09-28 v3
Abstract
We introduce the adjoint homological Selmer module for an SL-representation of a knot group, which may be seen as a knot theoretic analogue of the dual adjoint Selmer module for a Galois representation. We then show finitely generated torsion-ness of our adjoint Selmer module, which are widely known as conjectures in number theory, and give some concrete examples.
Keywords
Cite
@article{arxiv.2205.05401,
title = {On adjoint homological Selmer modules for SL$_2$-representations of knot groups},
author = {Takahiro Kitayama and Masanori Morishita and Ryoto Tange and Yuji Terashima},
journal= {arXiv preprint arXiv:2205.05401},
year = {2022}
}
Comments
19 pages, to appear in Int. Math. Res. Not. IMRN