# multipleCover -- Multiple coverings of rational curves on Calabi-Yau threefolds

## Synopsis

• Usage:
multipleCover(d)
• Inputs:
• d, an integer, the degree d of a rational curve
• Outputs:
• , the contribution of multiple coverings of rational curves on Calabi-Yau threefolds

## Description

Computes the contribution of multiple coverings of a smooth rational curve as a Gromov-Witten invariant.

 i1 : for d from 1 to 6 list multipleCover(d) 1 1 1 1 1 o1 = {1, -, --, --, ---, ---} 8 27 64 125 216 o1 : List

## Ways to use multipleCover :

• "multipleCover(ZZ)"

## For the programmer

The object multipleCover is .