# A calculus for the moduli space of curves

@article{Pandharipande2018ACF, title={A calculus for the moduli space of curves}, author={Rahul Pandharipande}, journal={Algebraic Geometry: Salt Lake City 2015}, year={2018} }

This article accompanies my lecture at the 2015 AMS summer institute in algebraic geometry in Salt Lake City. I survey the recent advances in the study of tautological classes on the moduli spaces of curves. After discussing the Faber-Zagier relations on the moduli spaces of nonsingular curves and the kappa rings of the moduli spaces of curves of compact type, I present Pixton's proposal for a complete calculus of tautological classes on the moduli spaces of stable curves. Several open…

## 38 Citations

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### COHOMOLOGICAL FIELD THEORY CALCULATIONS

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