3 papers
math.SG2025
On Contact Round Surgeries on and Their Diagrams
Prerak Deep, Dheeraj Kulkarni
We introduce the notion of contact round surgery of index on Legendrian knots in a general contact 3-manifold. It generalizes the notion of contact round surgery of index 1 on…
math.GT2025
On Round Surgery on Framed Links and Their Diagrams for 3-manifolds
Prerak Deep, Dheeraj Kulkarni
We introduce a novel method for performing round surgery on framed links in a 3-manifold. In , these operations give rise to round surgery diagrams for 3-manifolds, d…
math.GT2024
On A Potential Contact Analogue Of Kirby Move Of Type 1
Prerak Deep, Dheeraj Kulkarni
In this expository note, we explore the possibility of the existence of Kirby move of type 1 for contact surgery diagrams. In particular, we give the necessary conditions on a cont…