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arXiv · 2609.35640

Deformations of generalized complex structures on $\mathcal{G}$-flat transitive Courant algebroids

Vicente Cortés·Paula Naomi Pilatus
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Abstract

We extend Gualtieri's deformation theorem for generalized complex structures on exact Courant algebroids to the more general class of $\mathcal{G}$-flat transitive Courant algebroids. Our approach relies on the framework of tame Fréchet spaces and Hamilton's Nash-Moser (implicit function) theorem. As an important step of the proof of our deformation theorem, we endow the group of autoequivalences of a $\mathcal{G}$-flat transitive Courant algebroid with a tame Fréchet Lie group structure and show that there exists a tame subgroup of exact autoequivalences, whose infinitesimal action is by inner derivations.

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Vicente Cortés, Paula Naomi Pilatus. 2026-09-28. Deformations of generalized complex structures on $\mathcal{G}$-flat transitive Courant algebroids. https://arxiv.org/abs/2609.35640

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