Towards a good definition of algebraically overtwisted
Symplectic Geometry
2010-02-14 v2
Abstract
Symplectic field theory (SFT) is a collection of homology theories that provide invariants for contact manifolds. We give a proof that vanishing of any one of either contact homology, rational SFT or (full) SFT are equivalent. We call a manifold for which these theories vanish "algebraically overtwisted".
Keywords
Cite
@article{arxiv.0709.3415,
title = {Towards a good definition of algebraically overtwisted},
author = {Frédéric Bourgeois and Klaus Niederkrüger},
journal= {arXiv preprint arXiv:0709.3415},
year = {2010}
}
Comments
9 pages; improved description of SFT, simplified proof, added marked points in main theorem