On genera of coverings of torus bundles

2015/04/28 by Víctor Núñez, Victor, Núñez, Enrique Ramı́rez-Losada +3
Mathematics · #57M12 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1504.07567

openalex publication_date 2015/04/28 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

After showing that a covering space of surface bundles over S¹ factors as a `covering of fibers' followed by a `power covering', we prove that, for torus bundles, power coverings do not lower Heegaard genus, and that fiber coverings lower the genus only in special cases.

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