SFT computations and intersection theory in higher-dimensional contact manifolds
Symplectic Geometry
2021-01-29 v1 Geometric Topology
Abstract
We construct infinitely many non-diffeomorphic examples of -dimensional contact manifolds which are tight, admit no strong fillings, and do not have Giroux torsion. We obtain obstruction results for symplectic cobordisms, for which we give a proof not relying on the polyfold abstract perturbation scheme for SFT. These results are part of the author's PhD thesis, and are the first applications of higher-dimensional Siefring intersection theory for holomorphic curves and hypersurfaces.
Cite
@article{arxiv.1903.11884,
title = {SFT computations and intersection theory in higher-dimensional contact manifolds},
author = {Agustin Moreno},
journal= {arXiv preprint arXiv:1903.11884},
year = {2021}
}
Comments
50 pages. Streamlined from the author's PhD thesis