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math.GT2026
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-…
math.GT2025
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…