Geodesic
The homotopy class of twisted $L_\infty$-morphisms
Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 201-227.

Voir la notice de l'article provenant de la source International Press of Boston

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 $L_\infty$-morphisms that are twisted with gauge equivalent Maurer–Cartan elements.
DOI : 10.4310/HHA.2024.v26.n1.a14
Classification : 16W60, 17B55, 53D55
Keywords: homotopy Lie algebra, deformation quantization 
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Andreas Kraft; Jonas Schnitzer. The homotopy class of twisted $L_\infty$-morphisms. Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 201-227. doi : 10.4310/HHA.2024.v26.n1.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a14/

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