Abstract:We give a birational description of the reduced schemes underlying the irreducible components of the nilpotent cone and the C × -fixed point locus of length two in the moduli space of Higgs bundles. By producing criteria for wobbliness, we are able to determine wobbly fixed point components of type (n 0 , n 1 ) and prove that these are precisely U(n 0 , n 1 )-wobbly components. We compute the virtual equivariant multiplicities of fixed points as defined by Hausel-Hitchin and find that they are polynomial for a… Show more
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