Explicitly describing fibered 3-manifolds through families of singularly fibered surfaces

2023/06/22 by Maggie Miller, Miller, Maggie
Mathematics · #57K30 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2306.13081

openalex publication_date 2023/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an explicit description of a fibration of the complement of the closure of a homogeneous braid, understanding how each fiber intersects every cross-section of S³.

Related

• Braids, fibered knots, and concordance questions
• K3-fibered Calabi-Yau threefolds II, singular fibers
• Fibered 3-manifolds with unique incompressible surfaces
• Studying surfaces via closed braids
• The surface complex of Seifert fibered spaces