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- W2951353249 abstract "By 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)." @default.
- W2951353249 created "2019-06-27" @default.
- W2951353249 creator A5033780845 @default.
- W2951353249 date "2000-09-08" @default.
- W2951353249 modified "2023-09-27" @default.
- W2951353249 title "Mirror symmetry, Langlands duality, and commuting elements of Lie groups" @default.
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