Cohomological field theories with non-tautological classes

2018/02/25 by Rahul Pandharipande, Pandharipande, R., Dimitri Zvonkine +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1802.08981

openalex publication_date 2018/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Constructions of nontautological classes on moduli spaces of curves

Cited by

• Gromov-Witten classes of K3 surfaces

Related

• Tautological and non-tautological cohomology of the moduli space of curves
• Cohomological field theory calculations
• Non-tautological cycles on moduli spaces of smooth pointed curves
• Holomorphic forms and non-tautological cycles on moduli spaces of curves
• Tautological relations and integrable systems