English

Examples of planar tight contact structures with support norm one

Geometric Topology 2012-04-12 v2 Symplectic Geometry

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 .

Keywords

Cite

@article{arxiv.0911.0470,
  title  = {Examples of planar tight contact structures with support norm one},
  author = {Tolga Etgü and Yanki Lekili},
  journal= {arXiv preprint arXiv:0911.0470},
  year   = {2012}
}

Comments

5 pages, 5 figures. Final version. Minor corrections and clarifications

R2 v1 2026-06-21T14:06:41.941Z