12 citations · 40 across the 16 of their papers we have counts for
19 papers
Blanchfield pairings and Gordian distance
Stefan Friedl, Takahiro Kitayama, Masaaki Suzuki
A lower bound of the Gordian distance is presented in terms of the Blanchfield pairing. Our approach, in particular, allows us to show at least for 195 pairs of unoriented nontrivi…
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…
A survey of the Thurston norm
Takahiro Kitayama
We present an overview of the study of the Thurston norm, introduced by W. P. Thurston in the seminal paper "A norm for the homology of 3-manifolds" (written in 1976 and published…
Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials
Stefan Friedl, Takahiro Kitayama, Lukas Lewark +2
We establish homotopy ribbon concordance obstructions coming from the Blanchfield form and Levine-Tristram signatures. Then, as an application of twisted Alexander polynomials, we…
Representation varieties detect essential surfaces
Stefan Friedl, Takahiro Kitayama, Matthias Nagel
Extending Culler-Shalen theory, Hara and the second author presented a way to construct certain kinds of branched surfaces in a -manifold from an ideal point of a curve in the $…
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…