scientific article; zbMATH DE number 1467775

zbMath0981.81063arXivmath/9803072MaRDI QIDQ4488120

Pavel Belorousski, Rahul Pandharipande

Publication date: 16 September 2001

Full work available at URL: https://arxiv.org/abs/math/9803072

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

projective planeGromov-Witten theoryWDVV-equationscodimension 2 relationdescendent stratagenus 2 gravitational potentialsGetzler's equationsmoduli space of stable 3-pointed genus 2 curves

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Algebraic moduli problems, moduli of vector bundles (14D20) Fine and coarse moduli spaces (14D22)

Related Items

Tevelev degrees and Hurwitz moduli spaces, A genus-3 topological recursion relation, Dimension theory of the moduli space of twisted \(k\)-differentials, Belorousski-Pandharipande relation in dGBV algebras, Topological recursion relations on \(\overline{\mathcal{M}}_{3,2}\), Topological recursion relations from Pixton's formula, Invariance of tautological equations. I: Conjectures and applications, Higher genus FJRW invariants of a Fermat cubic, Open topological strings and integrable hierarchies: remodeling the A-model, Tautological relations via 𝑟-spin structures, Intersections of loci of admissible covers with tautological classes, Tautological relations in Hodge field theory, THE MODULI SPACE OF TWISTED CANONICAL DIVISORS, New topological recursion relations, Tautological classes on the moduli space of hyperelliptic curves with rational tails, Relative maps and tautological classes, Topological recursion relations from Pixton relations, \(N=1\) formal genus zero Gromov-Witten theories and Givental's formalism, A genus-4 topological recursion relation for Gromov-Witten invariants, Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures, Quantum product on the big phase space and the Virasoro conjecture, On equivariant Gromov-Witten invariants of resolved conifold with diagonal and anti-diagonal actions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chow groups of quotient varieties
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• Quantum cohomology at higher genus: topological recursion relations and Virasoro conditions
• Relations between the correlators of the topological sigma-model coupled to gravity
• Intersection numbers and rank one cohomological field theories in genus one
• Localization of virtual classes
• A geometric construction of Getzler's elliptic relation
• Quantum cohomology and Virasoro algebra
• Counting plane curves of any genus
• Higher genus symplectic invariants and sigma models coupled with gravity
• Stacks of stable maps and Gromov-Witten invariants
• On the Kodaira dimension of the moduli space of curves
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Quantum cohomology of a product (with appendix by R. Kaufmann)
• The degree of a Severi variety
• Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
• Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians
• Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants
• Notes on stable maps and quantum cohomology
• Equivariant Gromov - Witten Invariants
• A mathematical theory of quantum cohomology