Cheyu Wu

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math.GT2025

KBSM of lens spaces $L (p, 2)$ and $L (4 k, 2 k + 1)$

Mieczyslaw K. Dabkowski, Cheyu Wu

J. Hoste and J. H. Przytycki computed the Kauffman bracket skein module (KBSM) of lens spaces in their papers published in 1993 and 1995. Using a basis for the KBSM of a fibered to…

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 $Θ_{A}$ -state Expansions

Mieczyslaw K. Dabkowski, Cheyu Wu

Plucking polynomial of a plane rooted tree with a delay function $α$ was introduced in 2014 by J.H.~Przytycki. As shown in this paper, plucking polynomial factors when $α$ satisfie…

math.GT2022

Coefficients of Catalan States of Lattice Crossing I: $Θ_{A}$ -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 $C (A)$ of Catalan state…

KBSM of lens spaces L(p,2) and L(4k,2k+1)

Basis for KBSM of fibered torus with multiplicity two exceptional fiber

Coefficients of Catalan States of Lattice Crossing II: Applications of ΘA​-state Expansions

Coefficients of Catalan States of Lattice Crossing I: ΘA​-state Expansion

KBSM of lens spaces $L (p, 2)$ and $L (4 k, 2 k + 1)$

Coefficients of Catalan States of Lattice Crossing II: Applications of $Θ_{A}$ -state Expansions

Coefficients of Catalan States of Lattice Crossing I: $Θ_{A}$ -state Expansion