87 citations · 288 across the 27 of their papers we have counts for
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Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
Mark Andrea A. de Cataldo, Tamas Hausel, Luca Migliorini
We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of -points of two surfaces, the affine plane minus the axes…
The perverse filtration and the Lefschetz hyperplane theorem, II
Mark Andrea A. de Cataldo
The perverse filtration in cohomology and in cohomology with compact supports is interpreted in terms of kernels of restrictions maps to suitable subvarieties by using the Lefschet…
What is a perverse sheaf?
Mark Andrea de Cataldo, Luca Migliorini
Three-page article on the notion of perverse sheaf to appear in the "What is?" series in the Notices of the AMS.
Topology of Hitchin systems and Hodge theory of character varieties: the case A_1
Mark Andrea de Cataldo, Tamas Hausel, Luca Migliorini
For G = GL_2, PGL_2 and SL_2 we prove that the perverse filtration associated to the Hitchin map on the cohomology of the moduli space of twisted G-Higgs bundles on a Riemann surfa…