4 citations · 6 across the 2 of their papers we have counts for
4 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…
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…
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…