3 papers
math.GT2025
Basis for KBSM of fibered torus with multiplicity two exceptional fiber
Mieczyslaw K. Dabkowski, Cheyu Wu
We construct a family of bases for the Kauffman bracket skein module (KBSM) of the product of an annulus and a circle. Using these bases, we find a new basis for the KBSM of $(β,2)…
math.GT2022
Coefficients of Catalan States of Lattice Crossing II: Applications of -state Expansions
Mieczyslaw K. Dabkowski, Cheyu Wu
Plucking polynomial of a plane rooted tree with a delay function was introduced in 2014 by J.H.~Przytycki. As shown in this paper, plucking polynomial factors when satisfie…
math.GT2022
Coefficients of Catalan States of Lattice Crossing I: -state Expansion
Mieczyslaw K. Dabkowski, Cheyu Wu
Plucking polynomial for plane rooted trees was introduced by J.H. Przytycki in 2014. As it was shown later, this polynomial can be used to find coefficients of Catalan state…