nLab stable map




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


According to p 43 in

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

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