3 citations · 4 across the 11 of their papers we have counts for
7 papers · 1 filter
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…
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…
Periodic Surface Homeomorphisms and Contact Structures
Dheeraj Kulkarni, Kashyap Rajeevsarathy, Kuldeep Saha
Periodic surface homemorphisms (diffeomorphisms) play a significant role in the the Nielsen-Thurston classification of surface homeomorphisms. Periodic surface homeomorphisms can b…
On Rack Invariants Of Legendrian Knots
Dheeraj Kulkarni, T. V. H. Prathamesh
In this article, we introduce rack invariants of oriented Legendrian knots in the 3-dimensional Euclidean space endowed with the standard contact structure, which we call Legendria…
A Compactness Theorem for Embedded Measured Riemann Surface Laminations
Divakaran Divakaran, Dheeraj Kulkarni
We prove a compactness theorem for embedded measured hyperbolic Riemann surface laminations in a compact almost complex manifold . To prove compactness result, we show that…
Minimal contact triangulations of 3-manifolds
Basudeb Datta, Dheeraj Kulkarni
In this paper, we explore minimal contact triangulations on contact 3-manifolds. We give many explicit examples of contact triangulations that are close to minimal ones. The main r…
Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants
James Conway, Amey Kaloti, Dheeraj Kulkarni
In this note, we exhibit infinite families of tight non-fillable contact manifolds supported by planar open books with vanishing Heegaard Floer contact invariants. Moreover, we als…