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arXiv · 1404.3069

Beltrami-Courant Differentials and $G_{\infty}$-algebras

Anton M. Zeitlin
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Abstract

Using the symmetry properties of two-dmensional sigma models, we introduce a notion of the Beltrami-Courant differential, so that there is a natural homotopy Gerstenhaber algebra related to it. We conjecture that the generalized Maurer-Cartan equation for the corresponding $L_{\infty}$ subalgebra gives solutions to the Einstein equations.

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BibTeXRIS

Anton M. Zeitlin. 2014-04-11. Beltrami-Courant Differentials and $G_{\infty}$-algebras. https://doi.org/10.4310/atmp.2015.v19.n6.a3

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