May 7, 2021
Title: Globalizations of the Kontsevich Formality and their Homotopy Classes
Speaker: Andreas Kraft (Junior talk, 4:30pm)
The globalization procedure of the Kontsevich formality by Dolgushev depends on the choice of a torsion-free covariant derivative. We show that the globalized formalities with respect to two different covariant derivatives are homotopic. More explicitly, we derive the statement by proving a general homotopy equivalence between $L_infty$-morphisms that are twisted with gauge equivalent Maurer-Cartan elements. This talk is based on joint work with Jonas Schnitzer.