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...

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Bibliographic Details
Main Authors: Hausel, T, Thaddeus, M
Format: Journal article
Language:English
Published: 2002