247 citations · 325 across the 15 of their papers we have counts for
15 papers
Variations on a theme of Grothendieck
Johan Martens, Michael Thaddeus
Grothendieck and Harder proved that every principal bundle over the projective line with split reductive structure group (and trivial over the generic point) can be reduced to a ma…
On Non-Abelian Symplectic Cutting
Johan Martens, Michael Thaddeus
We discuss symplectic cutting for Hamiltonian actions of non-Abelian compact groups. By using a degeneration based on the Vinberg monoid we give, in good cases, a global quotient d…
Compactifications of reductive groups as moduli stacks of bundles
Johan Martens, Michael Thaddeus
Let G be a split reductive group. We introduce the moduli problem of "bundle chains" parametrizing framed principal G-bundles on chains of lines. Any fan supported in a Weyl chambe…
Resolving toric varieties with Nash blow-ups
Atanas Atanasov, Christopher Lopez, Alexander Perry +2
It is a long-standing question whether an arbitrary variety is desingularized by finitely many normalized Nash blow-ups. We consider this question in the case of a toric variety. W…
Mirror symmetry, Langlands duality, and the Hitchin system
Tamas Hausel, Michael Thaddeus
We study the moduli spaces of flat SL(r)- and PGL(r)-connections, or equivalently, Higgs bundles, on an algebraic curve. These spaces are noncompact Calabi-Yau orbifolds; we show t…
Examples of mirror partners arising from integrable systems
Tamas Hausel, Michael Thaddeus
In this note we present pairs of hyperkaehler orbifolds which satisfy two different versions of mirror symmetry. On the one hand, we show that their Hodge numbers (or more precisel…