Cohomological field theories with non-tautological classes

R. Pandharipande Eidgenössische Technische Hochschule (ETH) Zürich D. Zvonkine CNRS and Versailles St-Quentin University

Algebraic Geometry mathscidoc:1912.43035

Arkiv for Matematik, 57, (1), 191-213, 2019
A method of constructing Cohomological Field Theories (CohFTs) with unit using minimal classes on the moduli spaces of curves is developed. As a simple consequence, CohFTs with unit are found which take values outside of the tautological cohomology of the moduli spaces of curves. A study of minimal classes in low genus is presented in the Appendix by D. Petersen.
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@inproceedings{r.2019cohomological,
  title={Cohomological field theories with non-tautological classes},
  author={R. Pandharipande, and D. Zvonkine},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204134220840159591},
  booktitle={Arkiv for Matematik},
  volume={57},
  number={1},
  pages={191-213},
  year={2019},
}
R. Pandharipande, and D. Zvonkine. Cohomological field theories with non-tautological classes. 2019. Vol. 57. In Arkiv for Matematik. pp.191-213. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191204134220840159591.
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