Mirror symmetry, Langlands duality, and commuting elements of Lie groups

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dc.creatorThaddeus, Michael
dc.date2000-09-08
dc.date2001-01-23
dc.date.accessioned2026-07-07T04:37:16Z
dc.date.available2026-07-07T04:37:16Z
dc.descriptionBy normalizing the space of commuting pairs of elements in a reductive Lie group G, and the corresponding space for the Langlands dual group, we construct pairs of hyperkahler orbifolds which satisfy the conditions to be mirror partners in the sense of Strominger-Yau-Zaslow. The same holds true for commuting quadruples in a compact Lie group. The Hodge numbers of the mirror partners, or more precisely their orbifold E-polynomials, are shown to agree, as predicted by mirror symmetry. These polynomials are explicitly calculated when G is a quotient of SL(n).
dc.description21 pages, LaTeX with packages amsfonts, amssym
dc.identifierhttps://arxiv.org/abs/math/0009081
dc.identifierhttp://arxiv.org/abs/math/0009081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59893
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject14J32 (Primary); 14H60, 14J60, 20G20, 37J35 (Secondary)
dc.titleMirror symmetry, Langlands duality, and commuting elements of Lie groups
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