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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Construction of G(2)-instantons via twisted connected sums

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Author(s):
Menet, Gregoire [1] ; Nordstrom, Johannes [2] ; Earp, Henrique N. Sa [3]
Total Authors: 3
Affiliation:
[1] Univ Grenoble Alpes, Inst Fourier, 100 Rue Math, F-38610 Gieres - France
[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon - England
[3] Univ Campinas UNICAMP, Inst Math Stat & Sci Comp, R Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: MATHEMATICAL RESEARCH LETTERS; v. 28, n. 2, p. 471-509, 2021.
Web of Science Citations: 0
Abstract

We propose a method to construct G(2)-instantons over a compact twisted connected sum G(2)-manifold, applying a gluing result of Sa Earp and Walpuski to instantons over a pair of 7-manifolds with a tubular end. In our example, the moduli spaces of the ingredient instantons are non-trivial, and their images in the moduli space over the asymptotic cross-section K3 surface intersect transversely. Such a pair of asymptotically stable holomorphic bundles is obtained using a twisted version of the Hartshorne-Serre construction, which can be adapted to produce other examples. Moreover, their deformation theory and asymptotic behaviour are explicitly understood, results which may be of independent interest. (AU)

FAPESP's process: 14/05733-9 - Geometry of irreducible symplectic varieties
Grantee:Grégoire Menet
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 14/24727-0 - G2-instantons over twisted connected sums
Grantee:Henrique Nogueira de Sá Earp
Support Opportunities: Regular Research Grants