activity
20182026
most citedA Generalization of the Gram determinant of type A

6 citations · 16 across the 12 of their papers we have counts for

collaborators

13 papers

cs.MA2026

Why Do Agent Teams Fail Across Boundaries? A Failure Taxonomy for Agent-to-Agent Systems with Private States

Sarath Shekkizhar, Prathyusha Jwalapuram, Zixuan Ke +12

Agents are increasingly interacting with other agents that act for different principals (people or organizations on whose behalf they work), such as a buyer's personal agent negoti…

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 , 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 , they reveal topological properties of , more…

math.GT2024

On the Kauffman bracket skein module of

Rhea Palak Bakshi, Seongjeong Kim, Shangjun Shi +1

Determining the structure of the Kauffman bracket skein module of all -manifolds over the ring of Laurent polynomials is a big open problem in skein theor…

math.GT2023★ 1 cited

The Generalized Kauffman-Harary Conjecture is True

Rhea Palak Bakshi, Huizheng Guo, Gabriel Montoya-Vega +2

For a reduced alternating diagram of a knot with a prime determinant the Kauffman-Harary conjecture states that every non-trivial Fox -coloring of the knot assigns differen…

math.GT2022

A Counterexample to the Generalisation of Witten's Conjecture

Rhea Palak Bakshi

This note provides a counterexample to a conjecture by Marché about the structure of the Kauffman bracket skein module for closed compact oriented 3-manifolds over the ring of Laur…

math.GT2020

Kauffman Bracket Skein Module of the Connected Sum of Handlebodies: A Counterexample

Rhea Palak Bakshi, Józef H. Przytycki

In this paper we disprove a twenty-two year old theorem about the structure of the Kauffman bracket skein module of the connected sum of two handlebodies. We achieve this by analys…

math.GT2020★ 5 cited

On framings of links in 3-manifolds

Rhea Palak Bakshi, Dionne Ibarra, Gabriel Montoya-Vega +2

We show that the only way of changing the framing of a link by ambient isotopy in an oriented -manifold is when the manifold has a properly embedded non-separating . This c…

math.GT2019★ 6 cited

A Generalization of the Gram determinant of type A

Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee +1

The Gram determinant of type was introduced by Lickorish in his work on invariants of 3 - manifolds. We generalize the theory of the Gram determinant of type by evaluating,…

math.GT2018★ 3 cited

Schur Multipliers and Second Quandle Homology

Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee +2

We define a map from second quandle homology to the Schur multiplier and examine its properties. Furthermore, we express the second homology of Alexander quandles in terms of exter…

math.GT2018★ 1 cited

On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere

Rhea Palak Bakshi, Sujoy Mukherjee, Józef H. Przytycki +2

Based on the presentation of the Kauffman bracket skein module of the torus given by the third author in previous work, Charles D. Frohman and Răzvan Gelca established a complete d…