The Michigan Mathematical Journal

Gromov–Witten Theory of Target Curves and the Tautological Ring

Felix Janda

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In the Gromov–Witten theory of a target curve, we consider descendent integrals against the virtual fundamental class relative to the forgetful morphism to the moduli space of curves. We show that cohomology classes obtained in this way lie in the tautological ring.

Article information

Michigan Math. J., Volume 66, Issue 4 (2017), 683-698.

Received: 26 April 2016
Revised: 23 July 2017
First available in Project Euclid: 24 October 2017

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Zentralblatt MATH identifier

Primary: 14N35: Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants [See also 53D45]
Secondary: 14H10: Families, moduli (algebraic)


Janda, Felix. Gromov–Witten Theory of Target Curves and the Tautological Ring. Michigan Math. J. 66 (2017), no. 4, 683--698. doi:10.1307/mmj/1508810814.

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