Towards a Good Definition of Algebraically Overtwisted
نویسنده
چکیده
This preprint is part of a longer article in which we will show that any PS–overtwisted manifold is algebraically overtwisted. In dimension 3, this has already been proved for overtwisted manifolds by Eliashberg and Yau [Yau06]. The “correct” definition of algebraically overtwisted should be the strongest contact invariant that is not able to distinguish overtwisted contact manifolds (unfortunately it is unknown whtat the correct definition of overtwisted is in dimension 5 and higher).
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