2 citations · 3 across the 5 of their papers we have counts for
11 papers
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…
Abelianization for hyperkahler quotients
Tamas Hausel, Nicholas Proudfoot
We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkahler quotient to the cohomology ring of the quo…
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…
Hodge cohomology of gravitational instantons
Tamas Hausel, Eugenie Hunsicker, Rafe Mazzeo
We study the space of L^2 harmonic forms on complete manifolds with metrics of fibred boundary or fibred cusp type. These metrics generalize the geometric structures at infinity of…
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…