I construct infinitely many nondiffeomorphic examples of $5$ -dimensional contact manifolds which are tight, admit no strong fillings and do not have Giroux torsion. I obtain obstruction results for symplectic cobordisms, for which I give a proof not relying on the polyfold abstract perturbation scheme for Symplectic Field Theory (SFT). These results are part of my PhD thesis [23], and are the first applications of higher-dimensional Siefring intersection theory for holomorphic curves and hypersurfaces, as outlined in [23, 24], as a prequel to [30].

中文翻译：

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高维接触流形中的 SFT 计算和相交理论

我构造了无数个 $5$ 维接触流形的非微分同胚例子，它们是紧的，不承认强填充物并且没有 Giroux 扭转。我获得了辛协边的阻塞结果，为此我给出了一个不依赖于辛场论（SFT）的多折抽象扰动方案的证明。这些结果是我的博士论文 [23] 的一部分，并且是高维 Siefring 相交理论在全纯曲线和超曲面中的首次应用，如 [23, 24] 中所述，作为 [30] 的前传。