Cohomological field theories with non-tautological classes

Published 25 Feb 2018 in math.AG | (1802.08981v3)

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.

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