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The affine Springer fiber – sheaf correspondence
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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78
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Advances in Mathematics, Volume 464, pp. 1-78
Abstract
Given a semisimple element in the loop Lie algebra of a reductive group, we construct a quasi-coherent sheaf on a partial resolution of the trigonometric commuting variety of the Langlands dual group. The construction uses affine Springer theory and can be thought of as an incarnation of 3d mirror symmetry. For the group GLn, the corresponding partial resolution is Hilbn(C××C). We also consider a quantization of this construction for homogeneous elements.
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Publisher Copyright: © 2025 The Authors
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Gorsky, E, Kivinen, O & Oblomkov, A 2025, 'The affine Springer fiber – sheaf correspondence', Advances in Mathematics, vol. 464, 110143, pp. 1-78. https://doi.org/10.1016/j.aim.2025.110143