Involutions on 3-Manifolds and Self-dual, Binary Codes

2007/07/11 by Matthias Kreck, Kreck, Matthias, Volker Puppe +1 · 1 citation
Mathematics · #57M50 #57M60 #57R91 #94B05 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #math.AT #msc:57M50 #msc:57M60 #msc:57R91 #msc:94B05

paper · pdf · doi:10.48550/arxiv.0707.1599

9 pages

arxiv created 2007/07/11 · openalex publication_date 2007/07/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a correspondence between orientation reversing involutions on compact 3-manifolds with only isolated fixed points and binary, self-dual codes. We show in particular that every such code can be obtained from such an involution. We further relate doubly even codes to Pin^- -structures and Spin-manifolds.

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