On A Potential Contact Analogue Of Kirby Move Of Type 1

Fuente: arXiv
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Auteurs principaux: Deep, Prerak, Kulkarni, Dheeraj
Format: Preprint
Publié: 2024
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author Deep, Prerak
Kulkarni, Dheeraj
author_facet Deep, Prerak
Kulkarni, Dheeraj
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_04395
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On A Potential Contact Analogue Of Kirby Move Of Type 1
Deep, Prerak
Kulkarni, Dheeraj
Geometric Topology
Symplectic Geometry
57K33, 53D10, 57R65
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.
title On A Potential Contact Analogue Of Kirby Move Of Type 1
topic Geometric Topology
Symplectic Geometry
57K33, 53D10, 57R65
url https://arxiv.org/abs/2407.04395