Symmetries, tensors, and the Horrocks bundle

Autor(es)

Fowdar, Udhav ; Salamon, Simon

• Tipo de documento: Artigo Científico
• Fonte: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 82, p. 24-pg., 2022-05-31.

Resumo

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)

• Processo FAPESP: 21/07249-0 - Simetrias em problemas de holonomia excepcionais
• Beneficiário: Udhav Fowdar
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado