Towards a good definition of algebraically overtwisted
Towards a good definition of algebraically overtwisted
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DOI：
10.1016/j.exmath.2009.06.001
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发表时间：
2007-09
影响因子：
0.7
通讯作者：
F. Bourgeois;K. Niederkruger
中科院分区：
文献类型：
--
作者：
F. Bourgeois;K. Niederkruger
辛场论（英语：辛field theory）是一组为切触流形提供不变量的同调理论。我们证明了切触同调、有理SFT或（全）SFT中任何一个的消失都是等价的。我们把这些理论在代数上为零的流形称为过扭曲流形。
Symplectic field theory (SFT) is a collection of homology theories that provide invariants for contact manifolds. We show 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.