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-th2024
Exploring topological entanglement through Dehn surgery
Aditya Dwivedi, Siddharth Dwivedi, Vivek Kumar Singh +2
We compute the Chern-Simons partition function of a closed 3-manifold obtained from Dehn fillings of the link complement $\mathbf S^3\backslash {\mathcal…
hep-th2023
Knot-Quiver correspondence for double twist knots
Vivek Kumar Singh, Sachin Chauhan, Aditya Dwivedi +3
We obtain a quiver representation for a family of knots called double twist knots . Particularly, we exploit the reverse engineering of Melvin-Morton-Rozansky(MMR) formali…