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arXiv:1410.4018 [math.GT]AbstractReferencesReviewsResources

Minimal genus in circle bundles over 3-manifolds

Matthias Nagel

Published 2014-10-15Version 1

An estimate for the genus function in circle bundles over irreducible 3-manifolds is proven. This estimate is in many cases an equality and it relates the minimal genus of the surfaces representing a given homology class with the self-intersection of the class and the Thurston norm of the underlying 3-manifold.

Categories: math.GT
Subjects: 57M99
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