stable map in nLab

Contents

Contents

Idea

A special kind of morphism between orbifolds. Counted by Gromov-Witten invariants.

• quantum cohomology

References

According to p 43 in

• Dan Abramovich, Lectures on Gromov-Witten invariants of orbifolds (arXiv:math/0512372)

the notion originates in an email by Maxim Kontsevich, reproduced there.

The definition is stated for instance as def. 2.3.3 in

• Weimin Chen, Yongbin Ruan, Orbifold Gromov-Witten Theory, in Orbifolds in mathematics and physics (Madison, WI, 2001), 25–85, Contemp. Math., 310, Amer. Math. Soc., Providence, RI, 2002 (arXiv:math/0103156)

Lecture notes include

• William Fulton, R. Pandharipande, Notes on stable maps and quantum cohomology (arXiv:alg-geom/9608011)