Towards a good definition of algebraically overtwisted

Details Towards a good definition of algebraically overtwisted Towards a good definition of algebraically overtwisted

2007-09-21

arxiv.org/abs/0709.3415v2

Expositiones Mathematicae, Volume 28, Issue 1, 2010, p. 85-100

Mathematics

Symplectic Geometry

9 pages; improved description of SFT, simplified proof, added marked points in main theorem

Scientific paper

10.1016/j.exmath.2009.06.001

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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