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Equivariant Tautological Integrals on Flag Varieties |
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Citation: |
Xiaobo ZHUANG.Equivariant Tautological Integrals on Flag Varieties[J].Chinese Annals of Mathematics B,2024,45(3):463~486 |
Page view: 976
Net amount: 475 |
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) |
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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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