Classification of tight contact structures on some Seifert fibered manifolds: I
Geometric Topology
2025-04-04 v2
Abstract
We classify tight contact structures with zero Giroux torsion on some Seifert-fibered manifolds with four exceptional fibers. We get the lower bound by constructing contact structures using Legendrian surgery. We use convex surface theory to obtain the upper bound.
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Cite
@article{arxiv.2303.09490,
title = {Classification of tight contact structures on some Seifert fibered manifolds: I},
author = {Tanushree Shah},
journal= {arXiv preprint arXiv:2303.09490},
year = {2025}
}
Comments
22 pages, 24 figures