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2015 $\mathrm{G}_2$–instantons over twisted connected sums
Henrique N Sá Earp, Thomas Walpuski
Geom. Topol. 19(3): 1263-1285 (2015). DOI: 10.2140/gt.2015.19.1263

Abstract

We introduce a method to construct G2–instantons over compact G2–manifolds arising as the twisted connected sum of a matching pair of building blocks. Our construction is based on gluing G2–instantons obtained from holomorphic vector bundles over the building blocks via the first author’s work. We require natural compatibility and transversality conditions which can be interpreted in terms of certain Lagrangian subspaces of a moduli space of stable bundles on a K3 surface.

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Henrique N Sá Earp. Thomas Walpuski. "$\mathrm{G}_2$–instantons over twisted connected sums." Geom. Topol. 19 (3) 1263 - 1285, 2015. https://doi.org/10.2140/gt.2015.19.1263

Information

Received: 29 October 2013; Revised: 19 May 2014; Accepted: 27 June 2014; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1317.53034
MathSciNet: MR3352236
Digital Object Identifier: 10.2140/gt.2015.19.1263

Subjects:
Primary: 53C07, 53C25, 53C38

Rights: Copyright © 2015 Mathematical Sciences Publishers

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Vol.19 • No. 3 • 2015
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