Non-trivial self-concordances and a recent conjecture by Botvinnik

2012/12/12 by Wolfgang Steimle, Steimle, Wolfgang
Mathematics · #19D10 #57R50 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.GT #math.KT #msc:19D10 #msc:57R50

paper · pdf · doi:10.48550/arxiv.1212.2802

3 pages

arxiv created 2012/12/12 · openalex publication_date 2012/12/12 · arxiv updated 2012/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of this note is to construct, on many manifolds, non-trivial concordances from the identity to itself. This produces counterexamples to a recent conjecture by Botvinnik.

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