2002/04/08 by Jørgen Ellegaard Andersen, Jorgen Ellegaard Andersen, Andersen, Jorgen Ellegaard · 1 citation
Mathematics · #14D21 #57M27 #57R56 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.DG #math.QA #msc:14D21 #msc:57M27 #msc:57R56
paper · pdf · doi:10.48550/arxiv.math/0204084
Final version. To appear in Annals of Mathematics
openalex publication_date 2002/04/08 · arxiv created 2005/02/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the sequence of projective representations of the mapping class group obtained from the projective flat connection in the SU(n)-Verlinde bundles over Teichmuller space is asymptotically faithful, that is the intersection over all levels of the kernels of these representations is trivial, whenever the genus of the underlying surface is at least 3. For the genus 2 case, this intersection is exactly the order two subgroup, generated by the hyper-elliptic involution, in the case of even degree and n=2. Otherwise the intersection is also trivial in the genus 2 case.