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Examples of planar tight contact structures with support norm one

2009/11/30 by Tolga Etgü, Yanki Lekili
Mathematics · #math.GT #math.SG

paper · pdf · doi:10.1093/imrn/rnq025

published as International Mathematics Research Notices, 2010 (2010), 3723-3728 · 5 pages, 5 figures. Final version. Minor corrections and clarifications

arxiv created 2010/02/02 · arxiv updated 2012/04/12

Abstract

We exhibit an infinite family of tight contact structures with the property that none of the supporting open books minimizes the genus and maximizes the Euler characteristic of the page simultaneously, answering a question of Baldwin and Etnyre in arXiv:0910.5021 .

Citations