Examples of planar tight contact structures with support norm one

Details Examples of planar tight contact structures with support norm one Examples of planar tight contact structures with support norm one

2009-11-03

arxiv.org/abs/0911.0470v2

International Mathematics Research Notices, 2010 (2010), 3723-3728

Mathematics

Geometric Topology

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

Scientific paper

10.1093/imrn/rnq025

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 .

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