2 citations · 3 across the 5 of their papers we have counts for
8 papers · 1 filter
Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve
Tamas Hausel
This is a survey of results and conjectures on mirror symmetry phenomena in the non-Abelian Hodge theory of a curve. We start with the conjecture of Hausel-Thaddeus which claims th…
Quaternionic Geometry of Matroids
Tamas Hausel
Building on a recent joint paper with Sturmfels, here we argue that the combinatorics of matroids is intimately related to the geometry and topology of toric hyperkaehler varieties…
Intersection forms of toric hyperkaehler varieties
Tamas Hausel, Edward Swartz
This note proves combinatorially that the intersection pairing on the middle dimensional compactly supported cohomology of a smooth toric hyperkaehler variety is always definite, p…
Toric Hyperkahler Varieties
Tamas Hausel, Bernd Sturmfels
Extending work of Bielawski-Dancer and Konno, we develop a theory of toric hyperkahler varieties, which involves toric geometry, matroid theory and convex polyhedra. The framework…
Geometry of the moduli space of Higgs bundles
Tamas Hausel
This thesis contains work which appeared in several papers. Additionally to the results in the papers it contains a detailed introduction and some further proofs and remarks. The d…
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…