Equivariant Tautological Integrals on Flag Varieties

Xiaobo Zhuang

doi:10.1007/s11401-024-0023-7

Chinese Annals of Mathematics, Series B ›› 2024, Vol. 45 ›› Issue (3) : 463 -486. DOI: 10.1007/s11401-024-0023-7

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Equivariant Tautological Integrals on Flag Varieties

Xiaobo Zhuang ¹^,^a

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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

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Xiaobo Zhuang. Equivariant Tautological Integrals on Flag Varieties. Chinese Annals of Mathematics, Series B, 2024, 45(3): 463-486 DOI:10.1007/s11401-024-0023-7