Arkiv för Matematik
Volume 57 (2019)
Cohomological field theories with non-tautological classes
Pages: 191 – 213
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.
Appendix by D. Peterson (Matematiska institutionen, Stockholms universitet, Stockholm, Sweden. E-mail: firstname.lastname@example.org)
A correction was made to this article’s author credits on 2019 June 13.
Received 11 March 2018
Received revised 22 April 2018
Accepted 28 May 2018
Published 3 May 2019