The Homotopy Class of twisted $L_\infty$-morphisms
Quantum Algebra
2021-02-23 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
The global formality of Dolgushev depends on the choice of a torsion-free covariant derivative. We prove that the globalized formalities with respect to two different covariant derivatives are homotopic. More explicitly, we derive the statement by proving a more general homotopy equivalence between -morphisms that are twisted with gauge equivalent Maurer-Cartan elements.
Keywords
Cite
@article{arxiv.2102.10645,
title = {The Homotopy Class of twisted $L_\infty$-morphisms},
author = {Andreas Kraft and Jonas Schnitzer},
journal= {arXiv preprint arXiv:2102.10645},
year = {2021}
}
Comments
21 pages, comments are welcome! We would be happy to have suggestions about the literature