Formal Abel-Jacobi maps

  title={Formal Abel-Jacobi maps},
  author={Domenico Fiorenza and Marco Manetti},
  journal={arXiv: Quantum Algebra},
  • Domenico Fiorenza, Marco Manetti
  • Published 2016
  • Mathematics
  • arXiv: Quantum Algebra
  • We realize the infinitesimal Abel-Jacobi map as a morphism of formal deformation theories, realized as a morphism in the homotopy category of differential graded Lie algebras. The whole construction is carried out in a general setting, of which the classical Abel-Jacobi map is a special example.