48 citations · 48 across the 6 of their papers we have counts for
6 papers
Double twist knots and lattice paths
Aditya Dwivedi, Ramadevi Pichai
In this work, we explore the combinatorics arising from the quiver generating series of the unreduced -colored HOMFLY-PT polynomial for some twist-knots and dou…
Flat connections at infinity on knot surgery manifolds
Aditya Dwivedi, Archana Maji, Dmitry Noshchenko +1
Chern-Simons theory on a closed 3-manifold is one of the most interesting, yet tractable examples of a QFT. On one hand, its non-perturbative structure is no…
Full twists and stability of knots and quivers
Sachin Chauhan, Piotr Kucharski, Dmitry Noshchenko +3
We relate the stability of knot invariants under twisting a pair of strands to the stability of symmetric quivers under unlinking (or linking) operation. Starting from the HOMFLY-P…
Trivalent graphs, volume conjectures and character varieties
Satoshi Nawata, P. Ramadevi, Zodinmawia
The generalized volume conjecture and the AJ conjecture (a.k.a. the quantum volume conjecture) are extended to $U_q(\fraksl_2)$ colored quantum invariants of the theta and tetrahed…
Multiplicity-free quantum 6j-symbols for U_q(sl_N)
Satoshi Nawata, P. Ramadevi, Zodinmawia
We conjecture a closed form expression for the simplest class of multiplicity-free quantum 6j-symbols for U_q(sl_N). The expression is a natural generalization of the quantum 6j-sy…
Detection of Chirality and Mutations of Knots and Links
Ramadevi Pichai
In this brief presentation, we would like to present our attempts of detecting chirality and mutations from Chern-Simons gauge theory. The results show that the generalised knot in…