PreprintarXiv licencearXiv
Deformations of generalized complex structures on đť’˘-flat transitive Courant algebroids
Abstract
We extend Gualtieri's deformation theorem for generalized complex structures on exact Courant algebroids to the more general class of 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 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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BibTeX
@misc{cortes2026deformations,
title = {{Deformations of generalized complex structures on $\mathcalG$-flat transitive Courant algebroids}},
author = {Vicente Cortés and Paula Naomi Pilatus},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35640},
eprint = {2609.35640},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35640},
}
RIS
TY - UNPB
TI - Deformations of generalized complex structures on đť’˘-flat transitive Courant algebroids
AU - Vicente Cortés
AU - Paula Naomi Pilatus
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.35640
UR - https://arxiv.org/abs/2609.35640
AB - We extend Gualtieri's deformation theorem for generalized complex structures on exact Courant algebroids to the more general class of 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 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.
ER -