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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeMar 25th 2019
• (edited Mar 25th 2019)

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.

• CommentRowNumber2.
• CommentAuthorAli Caglayan
• CommentTimeMar 25th 2019
• (edited Mar 25th 2019)

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.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeMar 25th 2019

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

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJul 14th 2020

added full publication data to

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJul 15th 2020