22 citations · 22 across the 1 of their papers we have counts for
4 papers
Topological recursion relations and Gromov-Witten invariants in higher genus
Andreas Gathmann
We state and prove a topological recursion relation that expresses any genus-g Gromov-Witten invariant of a projective manifold with at least a (3g-1)-st power of a cotangent line…
The number of plane conics 5-fold tangent to a given curve
Andreas Gathmann
Given a general plane curve Y of degree d, we compute the number n_d of irreducible plane conics that are 5-fold tangent to Y. This problem has been studied before by Vainsencher u…
Relative Gromov-Witten invariants and the mirror formula
Andreas Gathmann
Let X be a smooth complex projective variety, and let Y in X be a smooth very ample hypersurface such that -K_Y is nef. Using the technique of relative Gromov-Witten invariants, we…
Absolute and relative Gromov-Witten invariants of very ample hypersurfaces
Andreas Gathmann
For any smooth complex projective variety X and smooth very ample hypersurface Y in X, we develop the technique of genus zero relative Gromov-Witten invariants of Y in X in algebro…