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math.GT2023
On The Cost Function Associated With Legendrian Knots
Dheeraj Kulkarni, Tanushree Shah, Monika Yadav
In this article, we introduce a non-negative integer-valued function that measures the obstruction for converting topological isotopy between two Legendrian knots into a Legendrian…
math.GT2022
On a generalization of Jones polynomial and its categorification for Legendrian Knots
Dheeraj Kulkarni, Monika Yadav
In this article, we explore a polynomial invariant for Legendrian knots which is a natural extension of Jones polynomial for (topological) knots. To this end, a new type of skein r…