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On the Chern filtration for the moduli of bundles on curves

On the Chern filtration for the moduli of bundles on curves

We introduce and study the Chern filtration on the cohomology of the moduli of bundles on curves. This can be viewed as a natural cohomological invariant defined via tautological classes that interpolates between additive Betti numbers and the multiplicative ring structure. In the rank two case, we fully compute the …