English

Additivity of support norm of tight contact structures

Symplectic Geometry 2021-03-22 v2 Geometric Topology

Abstract

The support norm sn(ξ)sn(\xi) of a contact structure ξ\xi is the minimum of the negative Euler characteristics of the pages of the open books supporting ξ\xi. In this paper we prove additivity of the support norm for tight contact structures.

Keywords

Cite

@article{arxiv.1902.08030,
  title  = {Additivity of support norm of tight contact structures},
  author = {Vera Vértesi},
  journal= {arXiv preprint arXiv:1902.08030},
  year   = {2021}
}

Comments

The paper is withdrawn due to a mistake in the proof of Proposition 3.2