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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJul 28th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexrecorded the realization via $G_2/SU(3)$ what's a good survey, if any, of the open question of complex structure on $S^6$? <a href="https://ncatlab.org/nlab/revision/6-sphere/1">v1</a>, <a href="https://ncatlab.org/nlab/show/6-sphere">current</a>

   recorded the realization via $G_2/SU(3)$

   what’s a good survey, if any, of the open question of complex structure on $S^6$?

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorDavidRoberts
   • CommentTimeJul 28th 2018
   • (edited Jul 28th 2018)
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexTry <https://arxiv.org/abs/1405.3405> and more generally <https://arxiv.org/abs/math/0508428>, which treats $S^6$ as an example in at least one place.

   Try https://arxiv.org/abs/1405.3405 and more generally https://arxiv.org/abs/math/0508428, which treats $S^6$ as an example in at least one place.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJul 28th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks, have added those. Any interesting development regarding Atiyah's take on it? <a href="https://ncatlab.org/nlab/revision/diff/6-sphere/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/6-sphere/2">v2</a>, <a href="https://ncatlab.org/nlab/show/6-sphere">current</a>

   Thanks, have added those.

   Any interesting development regarding Atiyah’s take on it?

   diff, v2, current

4. • CommentRowNumber4.
   • CommentAuthorTodd_Trimble
   • CommentTimeJul 28th 2018
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexUrs, there's a recent [MO thread](https://mathoverflow.net/questions/304071/atiyahs-may-2018-paper-on-the-6-sphere) where Robert Bryant expresses severe criticism on Atiyah's May 2018 revision.

   Urs, there’s a recent MO thread where Robert Bryant expresses severe criticism on Atiyah’s May 2018 revision.