Recursive Formulas for the Characteristic Numbers of Rational Plane Curves

Abstract

We derive recursive equations for the characteristic numbers of rational nodal plane curves with at most one cusp, subject to point conditions, tangent conditions and flag conditions, developing techniques akin to quantum cohomology on a moduli space of stable lifts.

LaTeX2e with xy-pic v3.2

References in corpus (3)

• The quantum cohomology of homogeneous varieties
• Equivariant intersection theory
• Stacks of Stable Maps and Gromov-Witten Invariants

Cited by in corpus (10)

• Gromov-Witten invariants of blow-ups
• Enumerative geometry of plane curves of low genus
• Contact formulas for rational plane curves via stable maps
• The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals
• Recursion for twisted descendants and characteristic numbers of rational curves
• Contact Cohomology of the Projective Plane
• Enumeration of Rational Cuspidal Curves via the WDVV equation
• Characteristic numbers of rational curves with cusp or prescribed triple contact
• Descendant invariants and characteristic numbers
• Tangential Quantum Cohomology of Arbitrary Order