Corpus ID: 219179639

Deformation theory of Cohomological Field Theories

@article{Dotsenko2020DeformationTO,
  title={Deformation theory of Cohomological Field Theories},
  author={V. Dotsenko and S. Shadrin and A. Vaintrob and B. Vallette},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}
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… Expand
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