The tautological rings of the moduli spaces of stable maps to flag varieties
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Publication:3431392
DOI10.1090/S1056-3911-06-00452-8zbMath1195.14037arXivmath/0404280OpenAlexW1979074506MaRDI QIDQ3431392
Publication date: 10 April 2007
Published in: Journal of Algebraic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0404280
Grassmannians, Schubert varieties, flag manifolds (14M15) Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)
Related Items
Tautological classes on the moduli spaces of stable maps to \(\mathbb {P}^r\) via torus actions ⋮ Betti numbers of stable map spaces to Grassmannians ⋮ Universal relations on stable map spaces in genus zero ⋮ Tautological rings of stable map spaces ⋮ Pointed trees of projective spaces ⋮ The Betti numbers of \overline{ℳ}_{0,𝓃}(𝓇,𝒹)
Cites Work
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- Chow groups of quotient varieties
- Tautological classes on the moduli spaces of stable maps to \(\mathbb {P}^r\) via torus actions
- Intersection theory on algebraic stacks and on their moduli spaces
- On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator
- A compactification of configuration spaces
- Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
- Constructions of nontautological classes on moduli spaces of curves.
- On the cohomology of stable map spaces
- CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
- Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
- Intersections of ℚ-divisors on Kontsevich’s moduli space \overline{𝕄}_{0,𝕟}(ℙ^{𝕣},𝕕) and enumerative geometry
- The Quantum Cohomology Ring of Flag Varieties
- The Chow Ring of the Non-Linear Grassmannian
- Notes on stable maps and quantum cohomology
- ON THE COHOMOLOGY OF $\bar{\mathcal M}_{0,n}({\mathbb P}^1,d)$
- Operads and moduli spaces of genus $0$ Riemann surfaces
- Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians
- Divisors on the moduli spaces of stable maps to flag varieties and reconstruction