Towards a good definition of algebraically overtwisted
classification
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algebraicallycontacthomologyovertwistedtheoriescallcollectiondefinition
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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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