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arXiv · 2102.10645

The Homotopy Class of twisted $L_\infty$-morphisms

Andreas Kraft·Jonas Schnitzer
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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 $L_\infty$-morphisms that are twisted with gauge equivalent Maurer-Cartan elements.

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BibTeXRIS

Andreas Kraft, Jonas Schnitzer. 2021-02-21. The Homotopy Class of twisted $L_\infty$-morphisms. https://arxiv.org/abs/2102.10645

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