Swarup Kumar Das

collaborators

3 papers

math.GT2025

A spanning tree model for Khovanov homology, Rasmussen's s-invariant and exotic discs in the $4$ -ball

Aninda Banerjee, Apratim Chakraborty, Swarup Kumar Das

The checkerboard coloring of knot diagrams offers a graph-theoretical approach to address topological questions. Champanerkar and Kofman defined a complex generated by the spanning…

math.CO2025

A spanning tree model for chromatic homology

Aninda Banerjee, Apratim Chakraborty, Swarup Kumar Das +1

After the discovery of Khovanov homology, which categorifies the Jones polynomial, an analogous categorification of the chromatic polynomial, known as chromatic homology, was intro…

math.NT2021

Solving $p$ -adic polynomial equations using Jarratt's Method

Stephan Baier, Swarup Kumar Das, Saayan Mukherjee

We implement an iterative numerical method to solve polynomial equations $f (x) = 0$ in the $p$ -adic numbers, where $f (x) \in Z_{p} [x]$ . This method is a simplified $p$ -adic ana…

A spanning tree model for Khovanov homology, Rasmussen's s-invariant and exotic discs in the 4-ball

A spanning tree model for chromatic homology

Solving p-adic polynomial equations using Jarratt's Method

A spanning tree model for Khovanov homology, Rasmussen's s-invariant and exotic discs in the $4$ -ball

Solving $p$ -adic polynomial equations using Jarratt's Method