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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.GT2023
Classification of tight contact structures on some Seifert fibered manifolds: I
Tanushree Shah
We classify tight contact structures with zero Giroux torsion on some Seifert-fibered manifolds with four exceptional fibers. We get the lower bound by constructing contact structu…