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arXiv · 2402.10363

Symplectic fillings of unit cotangent bundles of spheres and applications

Myeonggi Kwon·Takahiro Oba
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Abstract

We prove the uniqueness, up to diffeomorphism, of symplectically aspherical fillings of the unit cotangent bundle of odd-dimensional spheres. As applications, we first show the non-existence of exact symplectic cobordisms between some 5-dimensional Brieskorn manifolds. We also determine the diffeomorphism types of closed symplectic 6-manifolds with certain codimension 2 symplectic submanifolds.

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Myeonggi Kwon, Takahiro Oba. 2024-02-15. Symplectic fillings of unit cotangent bundles of spheres and applications. https://arxiv.org/abs/2402.10363

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