Quasi-Lie bialgebras of loops in quasi-surfaces

2020/01/07 by Vladimir Turaev, Turaev, Vladimir
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2001.02279

openalex publication_date 2020/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss natural operations on loops in a quasi-surface and show that these operations define a structure of a quasi-Lie bialgebra in the module generated by the set of free homotopy classes of non-contractible loops.

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