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arXiv · 1802.08981

Cohomological field theories with non-tautological classes

R. Pandharipande·D. Zvonkine
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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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R. Pandharipande, D. Zvonkine. 2018-02-25. Cohomological field theories with non-tautological classes. https://arxiv.org/abs/1802.08981

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