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

Published 27 May 2024 in math.AG and math.AT | (2405.17113v3)

Abstract: For a semisimple complex algebraic group $G$ we determine the rational cohomology and the Hodge-Tate structure of the moduli stack ${\mathscr B}un_{G,X}$ 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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