247 citations · 678 across the 39 of their papers we have counts for
40 papers
Commutative avatars of representations of semisimple Lie groups
Tamás Hausel
Here we announce the construction and properties of a big commutative subalgebra of the Kirillov algebra, called big algebra, attached to a finite dimensional irreducible represent…
Hitchin map on even very stable upward flows
Miguel González, Tamás Hausel
We define even very stable Higgs bundles and study the Hitchin map restricted to their upward flows. In the GL(n) case we classify the type (1,...,1) examples, and find that they a…
Spectrum of equivariant cohomology as a fixed point scheme
Tamás Hausel, Kamil Rychlewicz
An action of a complex reductive group on a smooth projective variety is regular when all regular unipotent elements in act with finitely many fixed poi…
Enhanced mirror symmetry for Langlands dual Hitchin systems
Tamás Hausel
The first part of this paper is a survey of mathematical results on mirror symmetry phenomena between Hitchin systems for Langlands dual groups. The second part introduces and disc…
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
Tamas Hausel, Nigel Hitchin
We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for the multiplicity of the very stable components of the globa…
An Enumerative Approach to
Simone Melchiorre Chiarello, Tamas Hausel, Andras Szenes
The conjecture identifies the perverse filtration of the Hitchin system on the cohomology of the moduli space of Higgs bundles with the weight filtration of the correspondi…