Taut foliations in surface bundles with multiple boundary components

Tejas Kalelkar; Rachel Roberts

doi:10.2140/pjm.2015.273.257

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arXiv · 1211.3637

Taut foliations in surface bundles with multiple boundary components

Tejas Kalelkar·Rachel Roberts

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Abstract

Let $M$ be a fibered 3-manifold with multiple boundary components. We show that the fiber structure of $M$ transforms to closely related transversely oriented taut foliations realizing all rational multislopes in some open neighborhood of the multislope of the fiber. Each such foliation extends to a taut foliation in the closed 3-manifold obtained by Dehn filling along its boundary multislope. The existence of these foliations implies that certain contact structures are weakly symplectically fillable.

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BibTeX RIS

Tejas Kalelkar, Rachel Roberts. 2012-11-15. Taut foliations in surface bundles with multiple boundary components. https://doi.org/10.2140/pjm.2015.273.257

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