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arXiv · 0709.3415

Towards a good definition of algebraically overtwisted

Frédéric Bourgeois·Klaus Niederkrüger
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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".

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Frédéric Bourgeois, Klaus Niederkrüger. 2009-02-20. Towards a good definition of algebraically overtwisted. https://doi.org/10.1016/j.exmath.2009.06.001

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