2008/07/01 by Vladimir Marković, Markovic, Vladimir, Dragomir Šarić +1 · 1 citation
Mathematics · #20H10 #Algebraic structures and combinatorial models #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.0807.0182
openalex publication_date 2008/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let M be a closed surface. By \Homeo(M) we denote the group of orientation preserving homeomorphisms of M and let \MC(M) denote the Mapping class group. In this paper we complete the proof of the conjecture of Thurston that says that for any closed surface M of genus \g ≥ 2, there is no homomorphic section \E:\MC(M) → \Homeo(M) of the standard projection map \Proj:\Homeo(M) → \MC(M).