Mirror symmetry, Langlands duality, and the Hitchin system
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 that they can be regarded as mirror partners in two different senses. First, they satisfy the requirements laid down by S...
Main Authors: | Hausel, T, Thaddeus, M |
---|---|
Format: | Journal article |
Language: | English |
Published: |
2002
|
Similar Items
-
Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of
a curve
by: Hausel, T
Published: (2004) -
Autoduality of the Hitchin system and the geometric Langlands programme
by: Groechenig, M
Published: (2013) -
Instanton correction, wall crossing and mirror symmetry of Hitchin's moduli spaces
by: Lu, Wenxuan
Published: (2011) -
Langlands Duality and Invariant Differential Operators
by: Vladimir Dobrev
Published: (2025-03-01) -
Langlands duality for representations and quantum groups at a root of
unity
by: McGerty, K
Published: (2009)