G2-instantons on generalised Kummer constructions
By Thomas Walpuski. 2011
68 citations recorded by the source corpus.
In this article we introduce a method to construct $\rm{G}_2$-instantons on $\rm{G}_2$-manifolds arising from Joyce's generalised Kummer construction. The method is based on gluing ASD instantons over ALE spaces to flat bundles on $\rm{G}_2$-orbifolds of the form $T^7/ \Gamma$. We use this construction to produce non-trivial examples of $\rm{G}_2$-instantons.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/adac40dcf9c6c25ee4e6534e7a4e317722d86683
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
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 Mathematical Physics
- Dietmar Salamon
- Spiro Karigiannis
- D. Joyce
- Thomas Walpuski
- T. Bridgeland
- Yukinobu Toda
- M. Abouzaid
- Christopher Brav
Citations in the corpus
- A new construction of compact torsion-free $G_2$-manifolds by gluing families of Eguchi–Hanson spaces (2017, background): “Precisely this problem was considered in the context of the first author’s original construction of compact G2-manifolds by Walpuski [38].”
- Notes on the octonions (2010, methodology): “For construction methods and concrete examples of G2–instantons and Spin(7)–instantons we refer to [35, 29, 36] and [31, 33].”