2011/12/01 by Claire Renard, Renard, Claire
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.GT
paper · pdf · doi:10.48550/arxiv.1112.0120
13 pages, 1 figure
arxiv created 2011/12/01 · openalex publication_date 2011/12/01 · arxiv updated 2011/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article provides sufficient conditions for a closed hyperbolic 3-manifold M with non zero first Betti number to fiber over the circle, and to find a fiber in M. Those conditions are formulated in terms of the behavior the circular characteristic in finite regular covers of M. We define the circular characteristic as an invariant associated to a non trivial cohomology class α of M, using a Heegaard characteristic.