3 citations · 6 across the 5 of their papers we have counts for
5 papers
On bipartite circle graphs and Khovanov homology
Apratim Chakraborty
We prove that independence complex of a bipartite circle graph is homotopy equivalent to a wedge of spheres, resolving a conjecture posed by Przytycki and Silvero. As a corollary,…
On Elser's conjecture and the topology of -nucleus complex
Apratim Chakraborty, Anupam Mondal, Sajal Mukherjee +1
Dorpalen-Barry et al. proved Elser's conjecture about sign of Elser's number by interpreting them as certain sums of reduced Euler characteristics of an abstract simplicial complex…
Cabling Legendrian and transverse knots
Apratim Chakraborty, John B. Etnyre, Hyunki Min
In this paper we will show how to classify Legendrian and transverse knots in the knot type of "sufficiently positive" cables of a knot in terms of the classification of the underl…
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex
Apratim Chakraborty
We define an annular concordance invariant and study its properties. When specialized to braids, this invariant gives bounds on band rank. We introduce a modified chain complex to…
Transverse and Legendrian invariants of cables in combinatorial link Floer homology
Apratim Chakraborty
We study the Ozsváth-Szabó-Thurston transverse invariant in combinatorial link Floer homology for certain transverse cables of transverse link in . Tra…