4 papers
Contact cosmetic surgery on Legendrian knots in integer homology sphere -spaces
Apratim Chakraborty, Swarup Kumar Das, Tanushree Shah
We extend the study of contact cosmetic surgeries to Legendrian knots in integer homology sphere L-spaces . We prove that the contact cosmetic surgery conjecture holds for all non-…
Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory
Amritendu Dhar, Apratim Chakraborty, Vijay Natarajan
Morse-Cerf theory considers a one-parameter family of smooth functions defined on a manifold and studies the evolution of their critical points with the parameter. This paper prese…
A spanning tree model for Khovanov homology, Rasmussen's s-invariant and exotic discs in the -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…
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…