English

Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields

alg-geom 2023-02-21 v2 High Energy Physics - Theory Algebraic Geometry

Abstract

We construct a generalization of the variations of Hodge structures on Calabi-Yau manifolds. It gives a Mirror partner for the theory of genus=0 Gromov-Witten invariants

Keywords

Cite

@article{arxiv.alg-geom/9710032,
  title  = {Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields},
  author = {Sergey Barannikov and Maxim Kontsevich},
  journal= {arXiv preprint arXiv:alg-geom/9710032},
  year   = {2023}
}

Comments

12 pages, AMS-TeX; typos and a sign corrected, appendix added. Submitted to IMRN