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I am working on entries related to generalized complex geometry. My aim is to tell the story in the correct way as the theory of the Lie 2-algebroid called the
Most, if not all, of the generalized complex geometry literature, uses the "naive" definition of Courant algebroids that regards them as vector bundles with some structure on them and is being vague to ignorant about what the right morphisms should be.
As discussed at Courant algebroid we know that we are really dealing with a Lie 2-algebroid and hence know where precisely this object lives. This provides some useful, I think, perspectives on some of the standard constructions. I want to eventually describe this. For the moment I have just the material at standard Courant algebroid with only two most basic observations (which, however, in my experience already take a nontrivial amount of time on the blackboard to explain to somebody used to the "naive" picture usually presented in the literature).
stub for
mainly to record the single reference that I am aware of that tries to identifiy the dilaton field conceptually in generalized complex geometry.
Does anyone know further references on this?
added to generalized complex geometry the definition of generalized complex structure on a vector space.
New entry complex connection (the title subject to change).
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