Poincaré polynomials of stable map spaces to Grassmannians

DOI10.4171/RSMUP/131-11zbMath1301.14032arXiv1303.2929MaRDI QIDQ396497

Alberto López Martín

Publication date: 13 August 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2929

zbMATH Keywords

torus actionPoincaré polynomialstable mapscell decomposition

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Classical problems, Schubert calculus (14N15)

Related Items (4)

Betti numbers of stable map spaces to Grassmannians ⋮ Intersection cohomology of pure sheaf spaces using Kirwan's desingularization ⋮ Mori's program for the moduli space of conics in Grassmannian ⋮ Poincaré polynomials of moduli spaces of stable maps into flag manifolds

Cites Work

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• Tautological classes on the moduli spaces of stable maps to \(\mathbb {P}^r\) via torus actions
• Stable maps of genus zero to flag spaces
• Absolute and relative Gromov-Witten invariants of very ample hypersurfaces
• On the cohomology of stable map spaces
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Compactified moduli spaces of rational curves in projective homogeneous varieties
• Some theorems on actions of algebraic groups
• The Betti numbers of \overline{ℳ}_{0,𝓃}(𝓇,𝒹)
• Notes on stable maps and quantum cohomology
• Poincaré polynomials of hyperquot schemes

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