On A Potential Contact Analogue Of Kirby Move Of Type 1

Prerak Deep; Dheeraj Kulkarni

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arXiv · 2407.04395

On A Potential Contact Analogue Of Kirby Move Of Type 1

Prerak Deep·Dheeraj Kulkarni

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Abstract

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 contact surgery diagram to become a potential candidate for contact Kirby move of type 1. We observe that there is a collection of contact positive integral surgery diagrams on Legendrian unknots satisfying those conditions.

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Prerak Deep, Dheeraj Kulkarni. 2024-07-05. On A Potential Contact Analogue Of Kirby Move Of Type 1. https://arxiv.org/abs/2407.04395

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