1999/02/03 by Joachim Kock, Kock, Joachim
Computer Science · Mathematics · #14H10 #14N10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14H10 #msc:14N10
paper · pdf · doi:10.48550/arxiv.math/9902021
20 pages, LaTeX, uses Paul Taylor's commutative diagrams package
arxiv created 1999/02/03 · openalex publication_date 1999/02/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
On a space of stable maps, the psi classes are modified by subtracting certain boundary divisors. The top products of modified psi classes, usual psi classes, and classes pulled back along the evaluation maps are called twisted descendants; it is shown that in genus 0, they admit a complete recursion and are determined by the Gromov-Witten invariants. One motivation for this construction is that all characteristic numbers (of rational curves) can be interpreted as twisted descendants; this is explained in the second part, using pointed tangency classes. As an example, some of Schubert's numbers of twisted cubics are verified.