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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 3rd 2009
   • PermaLink
   Author: Urs
   Format: MarkdownI 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 - [[standard Courant algebroid]] 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).

   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

   • standard Courant algebroid

   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).

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeDec 3rd 2009
   • PermaLink
   Author: Urs
   Format: Markdownstub for - [[dilaton]] 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?

   stub for

   • dilaton

   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?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 27th 2012
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[generalized complex geometry]] the definition of generalized complex structure on a vector space.

   added to generalized complex geometry the definition of generalized complex structure on a vector space.

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeJan 30th 2012
   • PermaLink
   Author: zskoda
   Format: MarkdownItexNew entry [[complex connection]] (the title subject to change).

   New entry complex connection (the title subject to change).

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeNov 23rd 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer: * [[Paul Koerber]], _Lectures on Generalized Complex Geometry for Physicists_, Fortsch. Phys. 59: 169-242, 2011 ([arXiv:1006.1536](https://arxiv.org/abs/1006.1536)) <a href="https://ncatlab.org/nlab/revision/diff/generalized+complex+geometry/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/generalized+complex+geometry/31">v31</a>, <a href="https://ncatlab.org/nlab/show/generalized+complex+geometry">current</a>

   added this pointer:

   • Paul Koerber, Lectures on Generalized Complex Geometry for Physicists, Fortsch. Phys. 59: 169-242, 2011 (arXiv:1006.1536)

   diff, v31, current

6. • CommentRowNumber6.
   • CommentAuthorperezl.alonso
   • CommentTimeFeb 24th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexpointer * [[Anthony Ashmore]], Charles Strickland-Constable, David Tennyson, [[Daniel Waldram]]. *Generalising $G_2$ geometry: involutivity, moment maps and moduli.* JHEP 2021, no. 1 (2021): 1-66. ([doi](https://doi.org/10.1007/JHEP01(2021)158)). <a href="https://ncatlab.org/nlab/revision/diff/generalized+complex+geometry/33">diff</a>, <a href="https://ncatlab.org/nlab/revision/generalized+complex+geometry/33">v33</a>, <a href="https://ncatlab.org/nlab/show/generalized+complex+geometry">current</a>

   pointer

   • Anthony Ashmore, Charles Strickland-Constable, David Tennyson, Daniel Waldram. Generalising $G_2$ geometry: involutivity, moment maps and moduli. JHEP 2021, no. 1 (2021): 1-66. (doi).

   diff, v33, current