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 finiteness conjecture using handlebodies and
2-handles, and prove the ...
Wade Bloomquist   Hiroaki Karuo   Thang Lê   
arXiv 2023年8月
We introduce a joint generalization, called LRY skein algebras, of Kauffman
bracket skein algebras (of surfaces) that encompasses both Roger-Yang skein
algebras and stated skein algebras. We will show that, over an arbitrary ground
ring which is a...
We generalize the quantum duality map of
Allegretti--Kim [AK17] for punctured closed surfaces to general marked
surfaces. When the marked surface has no interior marked points, we investigate
its compatibility with the...
We classify the finite dimensional semi-weight representations of the reduced
stated skein algebras at odd roots of unity of connected essential marked
surfaces which either have a boundary component with at least two boundary arcs
or which do not...