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An integral Riemann-Roch theorem for surface bundles

2009/01/27 by Ib Madsen, Madsen, Ib
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Cohomology #Equivariant cohomology #FOS: Mathematics #Geometry #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics #Riemann surface #Surface (topology) #Symplectic geometry #math.AT #Étale cohomology

paper · pdf · doi:10.48550/arxiv.0901.4240

arxiv created 2009/01/27 · openalex publication_date 2009/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This paper proves an integral version of the Riemann-Roch theorem for surface bundles, comparing the standard cohomology classes with the cohomology classes coming from the symplectic group.

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