6 papers · 1 filter
Mirror symmetry, Langlands duality, and commuting elements of Lie groups
Michael Thaddeus
By normalizing the space of commuting pairs of elements in a reductive Lie group G, and the corresponding space for the Langlands dual group, we construct pairs of hyperkahler orbi…
Variation of moduli of parabolic Higgs bundles
Michael Thaddeus
We study moduli spaces of parabolic Higgs bundles on a curve and their dependence on the choice of weights. We describe the chamber structure on the space of weights and show that,…
Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles
Tamas Hausel, Michael Thaddeus
The moduli space of stable bundles of rank 2 and degree 1 on a Riemann surface has rational cohomology generated by the so-called universal classes. The work of Baranovsky, King-Ne…
Generators for the cohomology ring of the moduli space of rank 2 Higgs bundles
Tamas Hausel, Michael Thaddeus
The moduli space of stable vector bundles on a Riemann surface is smooth when the rank and degree are coprime, and is diffeomorphic to the space of unitary connections of central c…
Complete collineations revisited
Michael Thaddeus
The space of complete collineations is a compactification of the space of matrices of fixed dimension and rank, whose boundary is a divisor with normal crossings. It was introduced…
On the quantum cohomology of a symmetric product of an algebraic curve
Aaron Bertram, Michael Thaddeus
The dth symmetric product of a curve of genus g is a smooth projective variety. This paper is concerned with the little quantum cohomology ring of this variety, that is, the ring h…