Minimal genus in 4-manifolds with a free circle action

Stefan Friedl; Stefano Vidussi

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arXiv · 1204.3578

Minimal genus in 4-manifolds with a free circle action

Stefan Friedl·Stefano Vidussi

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Abstract

Let N be a closed irreducible 3-manifold and assume N is not a graph manifold. We improve for all but finitely many S^1-bundles M over N the adjunction inequality for the minimal complexity of embedded surfaces. This allows us to completely determine the minimal complexity of embedded surfaces in all but finitely many S^1-bundles over a large class of 3-manifolds.

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BibTeX RIS

Stefan Friedl, Stefano Vidussi. 2012-04-16. Minimal genus in 4-manifolds with a free circle action. https://arxiv.org/abs/1204.3578

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