82 citations · 338 across the 26 of their papers we have counts for
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Colored HOMFLY-PT polynomials of quasi-alternating -braid knots
Nafaa Chbili, Vivek Kumar Singh
Obtaining a closed-form expression for the colored HOMFLY-PT polynomials of knots from -strand braids carrying arbitrary representation is a challenging problem. In this…
Topological entanglement and hyperbolic volume
Aditya Dwivedi, Siddharth Dwivedi, Bhabani Prasad Mandal +2
The entanglement entropy of many quantum systems is difficult to compute in general. They are obtained as a limiting case of the Rényi entropy of index , which captures the high…
Colored HOMFLY-PT for hybrid weaving knot
Vivek Kumar Singh, Rama Mishra, P. Ramadevi
Weaving knots of type denote an infinite family of hyperbolic knots which have not been addressed by the knot theorists as yet. Unlike the well-known tor…
Distinguishing Mutant Knots
L. Bishler, Saswati Dhara, T. Grigoryev +6
Knot theory is actively studied both by physicists and mathematicians as it provides a connecting centerpiece for many physical and mathematical theories. One of the challenging pr…
Semiclassical limit of topological Rényi entropy in Chern-Simons theory
Siddharth Dwivedi, Vivek Kumar Singh, Abhishek Roy
We study the multi-boundary entanglement structure of the state associated with the torus link complement in the set-up of three-dimensional SU(2) Cher…
Difference of mutant knot invariants and their differential expansion
L. Bishler, Saswati Dhara, T. Grigoryev +6
We evaluate the differences of HOMFLY-PT invariants for pairs of mutant knots colored with representations of , which are large enough to distinguish between them. These mut…