• Corpus ID: 219179639

# Deformation theory of Cohomological Field Theories

@article{Dotsenko2020DeformationTO,
title={Deformation theory of Cohomological Field Theories},
journal={arXiv: Algebraic Geometry},
year={2020}
}
• Published 2 June 2020
• Mathematics
• arXiv: Algebraic Geometry
We develop the deformation theory of cohomological field theories (CohFTs), which is done as a special case of a general deformation theory of morphisms of modular operads. This leads us to introduce two new natural extensions of the notion of a CohFT: homotopical (necessary to structure chain-level Gromov--Witten invariants) and quantum (with examples found in the works of Buryak--Rossi on integrable systems). We introduce a new version of Kontsevich's graph complex, enriched with tautological…
7 Citations
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The modular operad H∗(M¯g,n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
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