Some Notes on G_2 and Spin(7) Geometry
By Spiro Karigiannis. 2006
49 citations recorded by the source corpus.
We collect together various facts about G_2 and Spin(7) geometry which are likely well known but which do not seem to have appeared explicitly in the literature before. These notes should be useful to graduate students and new researchers in G_2 and Spin(7) geometry.
Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e6a526b9f474cc30c757434cfcde9e214d698ec9
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In Applied Mathematics
- Dietmar Salamon
- Spiro Karigiannis
- D. Joyce
- Thomas Walpuski
- M. Haskins
- H. Anciaux
- M. Abouzaid
- P. Seidel
In Geometry and Topology
- Dietmar Salamon
- Spiro Karigiannis
- D. Joyce
- Thomas Walpuski
- Michael Usher
- T. Bridgeland
- Alexander F. Ritter
- V. Ginzburg
In Nuclear and High Energy Physics
Citations in the corpus
- Notes on the octonions (2010, result): “We follow the exposition of Karigiannis in [Kar09, Section 2].”
- A new construction of compact torsion-free $G_2$-manifolds by gluing families of Eguchi–Hanson spaces (2017, background): “3] and the first author [20], but differs from the convention used by Bryant–Salamon [4] or Harvey–Lawson [17]. A detailed discussion of sign conventions and orientations in G2 geometry can be found in [24]. Acknowledgements. The authors thank Xenia de la Ossa, Jason Lotay, and Johannes Nordstro¨m for”