3 papers
math.QA2025
Center of stated -skein algebras
Hiroaki Karuo, Zhihao Wang
In the paper, we show some properties of (reduced) stated -skein algebras related to their centers for essentially bordered pb surfaces, especially their centers, f…
math.GT2025
Center of stated -skein algebras: even roots of unity
Hiroaki Karuo, Zhihao Wang
We describe the center of quantum tori appearing in quantum higher Teichmüller theory when the quantum parameter is an even root of unity. This is a subsequent of the work in the…
math.GT2024
Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles
Hiroaki Karuo, Zhihao Wang
We study a generalized Witten's finiteness conjecture for the skein modules of oriented compact 3-manifolds with boundary. We formulate an equivalent version of the generalized fin…