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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 18th 2018
   • (edited Jun 18th 2018)
   • PermaLink
   Author: Urs
   Format: MarkdownItexincluded pointer to the new preprint: * [[Felix Wellen]], _[[schreiber:Cartan Geometry in Modal Homotopy Type Theory|Cartan Geometry in Modal Homotopy Type Theory]]_ ([arXiv:1806.05966](https://arxiv.org/abs/1806.05966)) Will add this also to _[[G-structure]]_, _[[Cartan geometry]]_ and maybe other related entries. <a href="https://ncatlab.org/nlab/revision/diff/infinitesimal+shape+modality/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/infinitesimal+shape+modality/11">v11</a>, <a href="https://ncatlab.org/nlab/show/infinitesimal+shape+modality">current</a>

   included pointer to the new preprint:

   • Felix Wellen, Cartan Geometry in Modal Homotopy Type Theory (arXiv:1806.05966)

   Will add this also to G-structure, Cartan geometry and maybe other related entries.

   diff, v11, current

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeJun 18th 2018
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexIs it possible to comment briefly on what's changed since the thesis? >One important difference is in the definition of torsion free $G$-structures which turned out to be too restrictive in the original version, and >The proofs in this article make more use of type theoretic dependency which shortens the arguments a lot in most cases.

   Is it possible to comment briefly on what’s changed since the thesis?

   One important difference is in the definition of torsion free $G$-structures which turned out to be too restrictive in the original version,

   and

   The proofs in this article make more use of type theoretic dependency which shortens the arguments a lot in most cases.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 18th 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe thesis didn't get around to defining the moduli types of torsionfree G-structures, there remained a gap. This article is a streamlined account of the thesis results that also fills this gap. One statement that had been missing in the thesis is that the canonical G-structure on the local modal V itself is in fact torsion-free, now proven in the last section.

   The thesis didn’t get around to defining the moduli types of torsionfree G-structures, there remained a gap. This article is a streamlined account of the thesis results that also fills this gap. One statement that had been missing in the thesis is that the canonical G-structure on the local modal V itself is in fact torsion-free, now proven in the last section.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeJun 18th 2018
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexOk, thanks. There always seem to be things to admire about dependent sum for groups actions.

   Ok, thanks. There always seem to be things to admire about dependent sum for groups actions.