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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMar 25th 2019
   • (edited Mar 25th 2019)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI want this entry to have an actual section on construction of (compact) Examples, so I started one ([here](https://ncatlab.org/nlab/show/G2+manifold#Examples)). But so far there is nothing in there apart from pointers to the original articles by Joyce and Kovalev, and a graphics illustrating Kovalev's twisted connected sums. <a href="https://ncatlab.org/nlab/revision/diff/G2+manifold/51">diff</a>, <a href="https://ncatlab.org/nlab/revision/G2+manifold/51">v51</a>, <a href="https://ncatlab.org/nlab/show/G2+manifold">current</a>

   I want this entry to have an actual section on construction of (compact) Examples, so I started one (here). But so far there is nothing in there apart from pointers to the original articles by Joyce and Kovalev, and a graphics illustrating Kovalev’s twisted connected sums.

   diff, v51, current

2. • CommentRowNumber2.
   • CommentAuthorAli Caglayan
   • CommentTimeMar 25th 2019
   • (edited Mar 25th 2019)
   • PermaLink
   Author: Ali Caglayan
   Format: MarkdownItexThere are many articles on [Johannes Nordström](http://people.bath.ac.uk/jlpn20/)'s web page. Here is [another article](https://arxiv.org/pdf/1808.09443.pdf) with some more examples. They construct two G2 manifolds which are diffeomorphic but whose G2 structures are not homotopic, hence the title of the article. Mark Haskins is another expert on G2 manifolds, though I can't seem to find his webpage.

   There are many articles on Johannes Nordström’s web page.

   Here is another article with some more examples. They construct two G2 manifolds which are diffeomorphic but whose G2 structures are not homotopic, hence the title of the article.

   Mark Haskins is another expert on G2 manifolds, though I can’t seem to find his webpage.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMar 25th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexNB, I don't lack articles with examples, what I currently lack is the leisure/energy to extract them into the $n$Lab page.

   NB, I don’t lack articles with examples, what I currently lack is the leisure/energy to extract them into the $n$Lab page.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJul 14th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded full publication data to * [[Robert Bryant]], _Some remarks on $G_2$-structures_, [Proceedings of the 12th G&#246;kova Geometry-Topology Conference 2005](http://gokovagt.org/proceedings/2005), pp. 75-109 ([arXiv:math/0305124](https://arxiv.org/abs/math/0305124), [webpage](http://gokovagt.org/proceedings/2005/bryant.html), [pdf](http://gokovagt.org/proceedings/2005/ggt05-bryant.pdf)) <a href="https://ncatlab.org/nlab/revision/diff/G2+manifold/54">diff</a>, <a href="https://ncatlab.org/nlab/revision/G2+manifold/54">v54</a>, <a href="https://ncatlab.org/nlab/show/G2+manifold">current</a>

   added full publication data to

   • Robert Bryant, Some remarks on $G_2$-structures, Proceedings of the 12th Gökova Geometry-Topology Conference 2005, pp. 75-109 (arXiv:math/0305124, webpage, pdf)

   diff, v54, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJul 15th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Dominic Joyce]], _Compact Riemannian manifolds with exceptional holonomy_, Surveys in Differential Geometry Volume 6 (2001) ([doi:10.4310/SDG.2001.v6.n1.a3](https://dx.doi.org/10.4310/SDG.2001.v6.n1.a3)) <a href="https://ncatlab.org/nlab/revision/diff/G2+manifold/55">diff</a>, <a href="https://ncatlab.org/nlab/revision/G2+manifold/55">v55</a>, <a href="https://ncatlab.org/nlab/show/G2+manifold">current</a>

   added pointer to

   • Dominic Joyce, Compact Riemannian manifolds with exceptional holonomy, Surveys in Differential Geometry Volume 6 (2001) (doi:10.4310/SDG.2001.v6.n1.a3)

   diff, v55, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeDec 20th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * [[Bobby S. Acharya]], Daniel A. Baldwin, *Ricci Flat Metrics, Flat Connections and $G_2$-Manifolds* &lbrack;[arXiv:2312.12311](https://arxiv.org/abs/2312.12311)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/G2+manifold/62">diff</a>, <a href="https://ncatlab.org/nlab/revision/G2+manifold/62">v62</a>, <a href="https://ncatlab.org/nlab/show/G2+manifold">current</a>

   added pointer to today’s

   • Bobby S. Acharya, Daniel A. Baldwin, Ricci Flat Metrics, Flat Connections and $G_2$-Manifolds [arXiv:2312.12311]

   diff, v62, current

7. • CommentRowNumber7.
   • CommentAuthorperezl.alonso
   • CommentTimeFeb 7th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexpointer to * Marisa Fernández, Luis Ugarte. *Dolbeault Cohomology for $G2$-Manifolds*. Geometriae Dedicata 70, 57–86 (1998). ([doi](https://doi.org/10.1023/A:1004940807017)) <a href="https://ncatlab.org/nlab/revision/diff/G2+manifold/63">diff</a>, <a href="https://ncatlab.org/nlab/revision/G2+manifold/63">v63</a>, <a href="https://ncatlab.org/nlab/show/G2+manifold">current</a>

   pointer to

   • Marisa Fernández, Luis Ugarte. Dolbeault Cohomology for $G2$-Manifolds. Geometriae Dedicata 70, 57–86 (1998). (doi)

   diff, v63, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeMay 8th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Mario Garcia-Fernandez, Jason D. Lotay, Henrique N. Sá Earp, Agnaldo A. da Silva Jr.: *Coupled $G_2$-instantons* &lbrack;[arXiv:2404.12937](https://arxiv.org/abs/2404.12937)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/G2+manifold/71">diff</a>, <a href="https://ncatlab.org/nlab/revision/G2+manifold/71">v71</a>, <a href="https://ncatlab.org/nlab/show/G2+manifold">current</a>

   added pointer to today’s

   • Mario Garcia-Fernandez, Jason D. Lotay, Henrique N. Sá Earp, Agnaldo A. da Silva Jr.: Coupled $G_2$-instantons [arXiv:2404.12937]

   diff, v71, current

9. • CommentRowNumber9.
   • CommentAuthorSamuel Adrian Antz
   • CommentTimeJul 17th 2024
   • PermaLink
   Author: Samuel Adrian Antz
   Format: MarkdownItexUsed unicode subscripts for indices of [[exceptional Lie groups]] including title and links. When not linked, usual formulas are used. See discussion [here](https://nforum.ncatlab.org/discussion/18215/title-convention). Links will be re-checked after all titles have been changed. (Removed two redirects for "G2 manifold" from the top and added one for "G2 manifold" at the bottom of the page.) <a href="https://ncatlab.org/nlab/revision/diff/G%E2%82%82+manifold/72">diff</a>, <a href="https://ncatlab.org/nlab/revision/G%E2%82%82+manifold/72">v72</a>, <a href="https://ncatlab.org/nlab/show/G%E2%82%82+manifold">current</a>

   Used unicode subscripts for indices of exceptional Lie groups including title and links. When not linked, usual formulas are used. See discussion here. Links will be re-checked after all titles have been changed. (Removed two redirects for “G2 manifold” from the top and added one for “G2 manifold” at the bottom of the page.)

   diff, v72, current