Fillings of unit cotangent bundles of nonorientable surfaces

Youlin Li; Burak Ozbagci

doi:10.1112/blms.12104

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arXiv · 1609.01891

Fillings of unit cotangent bundles of nonorientable surfaces

Youlin Li·Burak Ozbagci

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Abstract

We prove that any minimal weak symplectic filling of the canonical contact structure on the unit cotangent bundle of a nonorientable closed surface other than the real projective plane is s-cobordant rel boundary to the disk cotangent bundle of the surface. If the nonorientable surface is the Klein bottle, then we show that the minimal weak symplectic filling is unique up to homeomorphism.

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Youlin Li, Burak Ozbagci. 2016-09-07. Fillings of unit cotangent bundles of nonorientable surfaces. https://doi.org/10.1112/blms.12104

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