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Symmetries, tensors, and the Horrocks bundle

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Author(s):
Fowdar, Udhav ; Salamon, Simon
Total Authors: 2
Document type: Journal article
Source: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 82, p. 24-pg., 2022-05-31.
Abstract

A study of tensors on the quaternionic projective plane HP2 arising from a stable 3-form on C-6 and an associated action of SU(3) is related to the existence of a holomorphic rank 3 vector bundle over CP5 discovered by Horrocks. It also leads to the construction of SU(3) invariant Spin(7) structures on HP2, which are characterised in terms of associated 4-forms. (C) 2022 The Authors. Published by Elsevier B.V. (AU)

FAPESP's process: 21/07249-0 - Symmetries in exceptional holonomy problems
Grantee:Udhav Fowdar
Support Opportunities: Scholarships in Brazil - Post-Doctoral