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A Laundry Surface for Braids

2006/09/05 by Victor A. Nicholson, Nicholson, Victor A.
Computer Science · Mathematics · #57M25 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0609148

9 pages, 9 figures, corrected typos

openalex publication_date 2006/09/05 · arxiv created 2006/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Laundry surfaces for closed braid diagrams are presented. It is shown that braid diagrams are characterized by linking matrices obtained by lifting cycles from these surfaces. Oriented link types are then characterized by equivalence classes of linking matrices. Similar equivalence classes can be composed of Gordon and Litherland forms or Seifert matrices.

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