The kernel of Burau(4) ⊗ Z_p is all pseudo-Anosov

2004/03/22 by Sangjin Lee, Sang Jin Lee, Lee, Sang Jin +2
Mathematics · #20F36 #57M60 #Combinatorics #Computer science #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Kernel (algebra) #Mathematical Dynamics and Fractals #Mathematics #math.GT #msc:20F36 #msc:57M60

paper · pdf · doi:10.48550/arxiv.math/0403347

8 pages, 5 figures

arxiv created 2004/03/22 · openalex publication_date 2004/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the kernel of Burau(4) ⊗ Z_p, the reduced Burau representation with coefficients in Z_p of the 4-braid group B₄, consists only of pseudo-Anosov braids.

Citations

• On the geometry and dynamics of diffeomorphisms of surfaces

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