Recursion for twisted descendants and characteristic numbers of rational curves

Details Recursion for twisted descendants and characteristic numbers of rational curves Recursion for twisted descendants and characteristic numbers of rational curves

1999-02-03

arxiv.org/abs/math/9902021v1

Mathematics

Algebraic Geometry

20 pages, LaTeX, uses Paul Taylor's commutative diagrams package

Scientific paper

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.

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