Symplectic fillings of unit cotangent bundles of spheres and applications

Myeonggi Kwon; Takahiro Oba

doi:10.1016/j.aim.2025.110748

Symplectic fillings of unit cotangent bundles of spheres and applications

Myeonggi Kwon
, Takahiro Oba^*

^*Corresponding author for this work

Department of Mathematics Education

The University of Osaka

Research output: Contribution to journal › Journal article › peer-review

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.

Original language	English
Article number	110748
Journal	Advances in Mathematics
Volume	486
DOIs	https://doi.org/10.1016/j.aim.2025.110748
State	Published - 2026.02

Keywords

Contact manifolds
Exact symplectic cobordisms
Holomorphic curves
Symplectic fillings
Symplectic hyperplane sections

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10.1016/j.aim.2025.110748

Cite this

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title = "Symplectic fillings of unit cotangent bundles of spheres and applications",

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.",

keywords = "Contact manifolds, Exact symplectic cobordisms, Holomorphic curves, Symplectic fillings, Symplectic hyperplane sections",

author = "Myeonggi Kwon and Takahiro Oba",

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AU - Oba, Takahiro

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N2 - 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.

AB - 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.

KW - Contact manifolds

KW - Exact symplectic cobordisms

KW - Holomorphic curves

KW - Symplectic fillings

KW - Symplectic hyperplane sections

UR - https://www.scopus.com/pages/publications/105026783665

U2 - 10.1016/j.aim.2025.110748

DO - 10.1016/j.aim.2025.110748

M3 - Journal article

AN - SCOPUS:105026783665

SN - 0001-8708

VL - 486

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 110748

ER -

Symplectic fillings of unit cotangent bundles of spheres and applications

Abstract

Keywords

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