6 citations · 16 across the 11 of their papers we have counts for
15 papers
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…
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…
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…
Hyperbolic Knots and Torsion in Khovanov Homology
Micah Chrisman, Sujoy Mukherjee
In this note, we show that if there is a knot in having torsion in its Khovanov homology, then there are infinitely many hyperbolic knots and infinitely many p…
Algebraic concordance order of almost classical knots
Micah Chrisman, Sujoy Mukherjee
Torsion in the concordance group of knots in can be studied with the algebraic concordance group . Here is a field of cha…
Arbitrarily large torsion in Khovanov cohomology
Sujoy Mukherjee, Dirk Schuetz
For any positive integer and we construct a link which has a direct summand in its Khovanov cohomology.