5 citations · 15 across the 8 of their papers we have counts for
8 papers
The total Johnson homomorphism on the homology cylinder and the bracket-quantization HOMFLY-PT skein algebra
Shunsuke Tsuji
A homology cylinder of a surface induces an automorphism of the completed group ring of the fundamental group of the surface. We introduce a new method of computing the automorphis…
Generalized Dehn twists in low-dimensional topology
Yusuke Kuno, Gwenael Massuyeau, Shunsuke Tsuji
The generalized Dehn twist along a closed curve in an oriented surface is an algebraic construction which involves intersections of loops in the surface. It is defined as an automo…
A formula for the action of Dehn twists on HOMFLY-PT skein modules and its applications
Shunsuke Tsuji
We introduce a formula for the action of Dehn twists on the HOMFLY-PT type skein module of a surface. As an application of the formula to mapping class group, we give an embedding…
Construction of an invariant for integral homology 3-spheres via completed Kauffman bracket skein algebras
Shunsuke Tsuji
We construct an invariant for an integral homology -sphere using a com…
The Torelli group and the Kauffman bracket skein module
Shunsuke Tsuji
We introduce an embedding of the Torelli group of a compact connected oriented surface with non-empty connected boundary into the completed Kauffman bracket skein algebra of the su…
The quotient of a Kauffman bracket skein algebra by the square of an augmentation ideal
Shunsuke Tsuji
We give an explicit basis of the quotient of the Kauffman bracket skein algebra on a surface by the square of an augmentation ideal. As an appli…
Dehn twists on Kauffman bracket skein algebras
Shunsuke Tsuji
We give an explicit formula for the action of the Dehn twist along a simple closed curve in a compact connected oriented surface on the completion of the filtered skein modules. To…
The logarithms of Dehn twists on non-orientable surfaces
Shunsuke Tsuji
We introduce a Lie algebra associated with a non-orientable surface, which is an analogue for the Goldman Lie algebra of an oriented surface. As an application, we deduce an explic…