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Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers
Roman Bezrukavnikov, Pablo Boixeda Alvarez, Michael McBreen +1
Starting from a homogeneous affine Springer fiber , we construct three moduli spaces that correspond to the Dolbeault, de Rham and Betti aspects of a hypothetical Simpson cor…
Hypertoric Hitchin systems and Kirchhoff polynomials
Michael Groechenig, Michael McBreen
We define a formal algebraic analogue of hypertoric Hitchin systems, whose complex-analytic counterparts were defined by Hausel-Proudfoot. These are algebraic completely integrable…
The quantum Hikita conjecture
Joel Kamnitzer, Michael McBreen, Nicholas Proudfoot
The Hikita conjecture relates the coordinate ring of a conical symplectic singularity to the cohomology ring of a symplectic resolution of the dual conical symplectic singularity.…