Poincaré polynomials of moduli spaces of stable maps into flag manifolds

DOI10.1007/s11464-018-0689-9zbMath1423.14082arXiv1601.04243OpenAlexW2297829866MaRDI QIDQ722458

Xiaobo Zhuang

Publication date: 23 July 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04243

zbMATH Keywords

Poincaré polynomialBialynicki-Birula decomposition

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Fine and coarse moduli spaces (14D22)

Cites Work

• Poincaré polynomials of stable map spaces to Grassmannians
• Tautological classes on the moduli spaces of stable maps to \(\mathbb {P}^r\) via torus actions
• Stable maps of genus zero to flag spaces
• Quantum Schubert calculus
• Two proofs of a conjecture of Hori and Vafa
• On quantum cohomology rings of partial flag varieties
• Some theorems on actions of algebraic groups
• The index of elliptic operators. III
• Białynicki-Birula decomposition of Deligne-Mumford stacks
• The Quantum Cohomology Ring of Flag Varieties
• TOWARDS A SCHUBERT CALCULUS FOR MAPS FROM A RIEMANN SURFACE TO A GRASSMANNIAN
• Poincaré polynomials of hyperquot schemes
• Quantum calculus
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