Equivariant Tautological Integrals on Flag Varieties

Citation:

Xiaobo ZHUANG.Equivariant Tautological Integrals on Flag Varieties[J].Chinese Annals of Mathematics B,2024,45(3):463~486
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Authors:

Xiaobo ZHUANG;

Foundation:

the National Natural Science Foundation of China (No.11901528), Zhejiang Provincial Natural Science Foundation of China (No. LQ19A010011) and the Fundamental Research Funds of Zhejiang Sci-Tech University (No. 2021Q045)
Abstract: The author apples the Atiyah-Bott-Berline-Vergne formula to the equivariant tautological integrals over flag varieties of types A, B, C, D, and recovers the formulas expressing the integrals as iterated residues at infinity, which were first obtained by Zielenkiewicz using symplectic reduction.

Keywords:

Localization, Flag variety, Residue

Classification:

55N91, 14M15
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