An invitation to quantum cohomology. Kontsevich's formula for rational plane curves
From MaRDI portal
Publication:2502531
zbMath1114.14001MaRDI QIDQ2502531
Joachim Kock, Israel Vainsencher
Publication date: 13 September 2006
Published in: Progress in Mathematics (Search for Journal in Brave)
generating functionquantum cohomologyGromov-Witten invariantsstable mapsenumerative problemsstable curvesquantum productKontsevich formula
Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)
Related Items
Equations for point configurations to Lie on a rational normal curve, Virtual classes for hypersurfaces via two-periodic complexes, The dual complex of \({\overline{M}_{0,n}}\) via phylogenetics, Intersections on tropical moduli spaces, Two-dimensional cycle classes on \(\overline{\mathcal{M}}_{0,n}\), Counting bitangents with stable maps, Quasi-homogeneity of the moduli space of stable maps to homogeneous spaces, Enumeration of real conics and maximal configurations, Counting realizations of Laman graphs on the sphere, Counting curves with local tangency constraints, Permutohedral spaces and the Cox ring of the moduli space of stable pointed rational curves, The Picard group of the moduli space of curves with level structures, Tropical moduli spaces of rational graphically stable curves, A remark on Gromov-Witten invariants of quintic threefold, The Cohomology of $$\mathcal{M}_{0,n}$$ as an FI-Module, Quasi-homogeneity of the moduli space of stable maps to homogeneous spaces. II., Boundary expression for Chern classes of the Hodge bundle on spaces of cyclic covers, The \(\widehat {\mathfrak {sl}}(n)_k\)-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology, Rational curves on Calabi-Yau threefolds: verifying mirror symmetry predictions, Orbits in \((\mathbb{P}^r)^n\) and equivariant quantum cohomology, Psi-class intersections on Hassett spaces for genus 0 with all weights \(\frac{1}{2}\), Projective embeddings of \(\overline{M}_{0,n}\) and parking functions, Simplicial equations for the moduli space of stable rational curves, Quantum Barnes function as the partition function of the resolved conifold, Representation stability for the pure cactus group, Unnamed Item, Quantum reconstruction for Fano bundles on projective space