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Contact open books with flexible pages

Bowden, Jonathan ; Crowley, Diarmuid



Abstract

We give an elementary topological obstruction for a manifold M$M$ of dimension 2q+1 > 7$2q+1\geqslant 7$ to admit a contact open book with flexible Weinstein pages and c1(pi 2(M))=0$c_1(\pi_2(M)) = 0$: if the torsion subgroup of the q$q$-th integral homology group is non-zero, then no such contact open book exists. We achieve this by proving that a symplectomorphism of a flexible Weinstein ...

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