Rational Homotopy and Hodge Theory of Moduli Stacks of principal G-bundles

2024/05/27 by Pedro L. del Ángel R., Frank Neumann, R., Pedro L. del Angel +1
Mathematics · #14A20. Secondary 14C30 #14H60 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary 14D20

paper · pdf · doi:10.48550/arxiv.2405.17113

openalex publication_date 2024/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a semisimple complex algebraic group G we determine the rational cohomology and the Hodge-Tate structure of the moduli stack \mathscr Bun_G,X of principal G-bundles over a connected smooth complex projective variety X of special type using the homotopy theory of the underlying topological stack.

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