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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Tangent space of a moduli space
Let $X$ be a compact Riemann surface with genus $2$ and $M^2$ the moduli space of stable principal $\operatorname{SL}(2)$-bundles of rank $r$. We know that $M^2$ is a complex projective variety of dim …