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arXiv · 2405.17113

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

Pedro L. del Angel R.·Frank Neumann
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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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Pedro L. del Angel R., Frank Neumann. 2024-05-27. Rational Homotopy and Hodge Theory of Moduli Stacks of principal $G$-bundles. https://doi.org/10.1007/978-3-031-77050-0_4

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