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arXiv · 1903.11884

SFT computations and intersection theory in higher-dimensional contact manifolds

Agustin Moreno
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Abstract

We construct infinitely many non-diffeomorphic examples of $5$-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.

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Agustin Moreno. 2019-03-28. SFT computations and intersection theory in higher-dimensional contact manifolds. https://doi.org/10.1017/s1474748020000559

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