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Towards a good definition of algebraically overtwisted
- Source :
- Expositiones Mathematicae, Expositiones Mathematicae, 2010, 28 (1), pp.85-100. ⟨10.1016/j.exmath.2009.06.001⟩, Expositiones Mathematicae, Elsevier, 2010, 28 (1), pp.85-100. ⟨10.1016/j.exmath.2009.06.001⟩
- Publisher :
- Elsevier GmbH.
-
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".<br />Comment: 9 pages; improved description of SFT, simplified proof, added marked points in main theorem
- Subjects :
- Mathematics(all)
Pure mathematics
General Mathematics
010102 general mathematics
Mathematics::General Topology
Homology (mathematics)
53D10
01 natural sciences
Mathematics::Geometric Topology
Manifold
[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]
Mathematics - Symplectic Geometry
0103 physical sciences
010307 mathematical physics
0101 mathematics
Mathematics::Symplectic Geometry
ComputingMilieux_MISCELLANEOUS
Symplectic geometry
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 07230869
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Expositiones Mathematicae
- Accession number :
- edsair.doi.dedup.....c3315d729fbca03e583e6139d60bb4ae
- Full Text :
- https://doi.org/10.1016/j.exmath.2009.06.001