Matched pairs of Courant algebroids
Melchior Gr\"utzmann, Mathieu Sti\'enon
TL;DR
This paper introduces the concept of matched pairs of Courant algebroids, providing examples from complex geometry and exploring the structure of their matched sums, advancing the understanding of Courant algebroid interactions.
Contribution
It defines matched pairs of Courant algebroids and explores their properties with natural examples from complex manifolds and holomorphic structures.
Findings
Examples from complex manifolds and holomorphic Courant algebroids
Construction of matched sum of Dirac subbundles
New framework for combining Courant algebroids
Abstract
We introduce the notion of matched pairs of Courant algebroids and give several examples arising naturally from complex manifolds, holomorphic Courant algebroids, and certain regular Courant algebroids. We consider the matched sum of two Dirac subbundles, one in each of two Courant algebroids forming a matched pair.
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