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

Pedro L. del Angel R., Frank Neumann

For a semisimple complex algebraic group $G$ we determine the rational cohomology and the Hodge-Tate structure of the moduli stack $\mathcal{B}u{n}_{G,X}$ of principal $G$-bundles o…