13 citations · 36 across the 17 of their papers we have counts for
5 papers · 1 filter
On adjoint homological Selmer modules for SL-representations of knot groups
Takahiro Kitayama, Masanori Morishita, Ryoto Tange +1
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 fo…
On certain L-functions for deformations of knot group representations
Takahiro Kitayama, Masanori Morishita, Ryoto Tange +1
We study the twisted knot module for the universal deformation of an -representation of a knot group, and introduce an associated -function, which may be seen as an…
On the universal deformations for SL_2-representations of knot groups
Masanori Morishita, Yu Takakura, Yuji Terashima +1
Based on the analogies between knot theory and number theory, we study a deformation theory for SL_2-representations of knot groups, following after Mazur's deformation theory of G…
Analogies between Knots and Primes, 3-Manifolds and Number Rings
Masanori Morishita
This is an expository article of our work on analogies between knot theory and algebraic number theory. We shall discuss foundational analogies between knots and primes, 3-manifold…
Pro-p link groups and p-homology groups
Jonathan Hillman, Daniel Matei, Masanori Morishita
For a link in the 3-sphere and for a prime , we express the -primary information on the first homology group of -fold branched covers of in terms of its -ad…