Abstract
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.
Note
Appendix by D. Peterson (Matematiska institutionen, Stockholms universitet, Stockholm, Sweden. E-mail: dan.petersen@math.su.se)
Version Information
A correction was made to this article’s author credits on 13 June 2019.
Citation
R. Pandharipande. D. Zvonkine. "Cohomological field theories with non-tautological classes." Ark. Mat. 57 (1) 191 - 213, April 2019. https://doi.org/10.4310/ARKIV.2019.v57.n1.a10
