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 Diagrams For 3-Manifolds
Prerak Deep, Dheeraj Kulkarni
We introduce the notion of round surgery diagrams in for representing 3-manifolds similar to Dehn surgery diagrams. We give a correspondence between a certain class of round…
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…