Bowden, Jonathan and Crowley, Diarmuid (2023) Contact open books with flexible pages. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 55 (3). pp. 1302-1313. ISSN 0024-6093, 1469-2120
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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 manifold acts trivially on integral cohomology. We also produce examples of non-trivial loops of flexible contact structures using related ideas.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HOMOLOGY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Mar 2024 14:09 |
| Last Modified: | 13 Mar 2024 14:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59962 |
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