2 problems

Gysin formulation of Grothendieck's general Hodge conjecture. There exists such a subvariety $Z$ for which $V$ is contained in the image of this Gysin map. The source states this a…

Let $G$ be a compact Lie group, let $\Sigma$ be a closed surface of genus $g$, and let $\mathfrak{M}$ be the moduli stack of $G$-bundles on $\Sigma$. Let $\Pi:G^{2g}\to G$ be the p…