(ℝℙ2n−1,ξstd) is not exactly fillable for n≠2k

Zhou, Zhengyi¹

¹ Institute for Advanced Study, Princeton, NJ, United States, Morningside Center of Mathematics and Institute of Mathematics, AMSS, CAS, Beijing, China

Geometry & topology, Tome 25 (2021) no. 6, pp. 3013-3052.

Résumé

We prove that $\left(ℝ{\mathbb{P}}^{2n-1},{\xi }_{std}\right)$ is not exactly fillable for any $n\ne 2^k$ and there exist strongly fillable but not exactly fillable contact manifolds for all dimensions $\ge 5$.

Détail

DOI : 10.2140/gt.2021.25.3013

Classification : 53D05, 53D10, 53D42, 57R17, 14B05
Keywords: exact filling, symplectic cohomology, quotient singularity

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