#### Title

Enumeration Of Rational Plane Curves Tangent To A Smooth Cubic

#### Document Type

Article

#### Publication Date

9-10-2008

#### Published In

Advances In Mathematics

#### Abstract

We compute the number of rational degree d plane curves having prescribed fixed and moving contacts to a smooth plane cubic E . We use twisted stable maps to the stack View the MathML sourceP²_E,r for r large, where View the MathML sourceP²_E,r is the r th root of P² along E. We prove that certain Gromov–Witten invariants of this stack are enumerative, and establish recursive formulas for these numbers.

#### Recommended Citation

C. Cadman and Linda Chen.
(2008).
"Enumeration Of Rational Plane Curves Tangent To A Smooth Cubic".
*Advances In Mathematics*.
Volume 219,
Issue 1.
316-343.

http://works.swarthmore.edu/fac-math-stat/128