Given a smooth complex Deligne-Mumford stack X with a projective coarse moduli space, we introduce Gromov-Witten invariants of X and prove some of their basic properties, including the WDVV equation.

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Cite This Study

Abramovich et al. (Wed,) studied this question.

synapsesocial.com/papers/69d91e62ea2783c07da3c2c6 https://doi.org/https://doi.org/10.1353/ajm.0.0017

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1Gromov-Witten invariants of P^2-stacks2005 · 6 citations
2Gromov–Witten invariants of $\mathbb{P}^2$-stacks2007 · 4 citations
3Two-dimensional gravity and intersection theory on moduli space1990 · 1,379 citations
4Towards an Enumerative Geometry of the Moduli Space of Curves1983 · 690 citations
5Enumerative Invariants in Algebraic Geometry and String Theory2008 · 11 citations

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Gromov-Witten invariants of P^2-stacks2005 · 6 citations
2Gromov–Witten invariants of $\mathbb{P}^2$-stacks2007 · 4 citations
3Two-dimensional gravity and intersection theory on moduli space1990 · 1,379 citations
4Towards an Enumerative Geometry of the Moduli Space of Curves1983 · 690 citations
5Enumerative Invariants in Algebraic Geometry and String Theory2008 · 11 citations