Rhea Palak Bakshi

activity

20182026

collaborators

9 papers

math.GT2026

Kauffman bracket skein module of the connected sum of two solid tori

Rhea Palak Bakshi, Thang T. Q. Lê, Józef H. Przytycki

We determine the structure of the Kauffman bracket skein module of the connected sum of two genus one handlebodies over the ring of Laurent polynomials $Z [q^{\pm 1}]$ , ther…

math.GT2025

Fundamentals of cubic skein modules

Rhea Palak Bakshi, Anthony Christiana, Huizheng Guo +6

Over the past thirty-seven years, the study of linear and quadratic skein modules has produced a rich and far-reaching skein theory, intricately connected to diverse areas of mathe…

math.GT2025

The Montesinos-Nakanishi 3-move conjecture for links up to 20 crossings

Rhea Palak Bakshi, Benjamin A. Burton, Huizheng Guo +4

Yasutaka Nakanishi formulated the following conjecture in 1981: every link is 3-move equivalent to a trivial link. While the conjecture was proved for several specific cases, it re…

math.GT2024

Independence complexes of circle graphs

Rhea Palak Bakshi, Ali Guo, Dionne Ibarra +4

Independence complexes of circle graphs are purely combinatorial objects. However, when constructed from some diagram of a link $L$ , they reveal topological properties of $L$ , more…

math.GT2024

On the Kauffman bracket skein module of $(S^{1} \times S^{2}) # (S^{1} \times S^{2})$

Rhea Palak Bakshi, Seongjeong Kim, Shangjun Shi +1

Determining the structure of the Kauffman bracket skein module of all $3$ -manifolds over the ring of Laurent polynomials $Z [A^{\pm 1}]$ is a big open problem in skein theor…

math.GT2022

A Counterexample to the Generalisation of Witten's Conjecture