3 papers
math.GT2026
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…
hep-th2025
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…
hep-th2025
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…