Ozsváth–Szabó invariants of contact surgeries

Golla, Marco

doi:10.2140/gt.2015.19.171

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Ozsváth–Szabó invariants of contact surgeries

Marco Golla

Geometry & Topology 19 (2015) 171–235

DOI: 10.2140/gt.2015.19.171

Abstract

We give new tightness criteria for positive surgeries along knots in the $3$ –sphere, generalising results of Lisca and Stipsicz, and Sahamie. The main tools will be Honda, Kazez and Matić’s, and Ozsváth and Szabó’s Floer-theoretic contact invariants. We compute Ozsváth–Szabó contact invariant of positive contact surgeries along Legendrian knots in the $3$ –sphere in terms of the classical invariants of the knot. We also combine a Legendrian cabling construction with contact surgeries to get results about rational contact surgeries.

Keywords

tight contact structures, Ozsváth–Szabó invariants

Mathematical Subject Classification 2010

Primary: 57R17

Secondary: 57R57

References

Publication

Received: 16 January 2013

Revised: 19 April 2014

Accepted: 9 May 2014

Published: 27 February 2015

Proposed: Peter S Ozsváth

Seconded: Yasha Eliashberg, Ciprian Manolescu

Authors

Marco Golla
Department of Mathematics University of Pisa Largo Bruno Pontecorvo 5 56127 Pisa Italy

Volume 19, issue 1 (2015)