nLab Paolo Piccinni

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Selected writings

On Pontryagin classes for Sp(n).Sp(1):

• Paolo Piccinni, Giuliano Romani, A generalization of symplectic Pontrjagin classes to vector bundles with structure group $Sp(n)\cdot Sp(1)$, Annali di Matematica pura ed applicata (1983) 133: 1 (doi:10.1007/BF01766008)

• Paolo Piccinni, Vector fields and characteristic numbers on hyperkàhler and quaternion Kâhler manifolds, Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1992) Volume: 3, Issue: 4, page 295-298 (dml:244204)

On the octonionic Hopf fibration:

• Liviu Ornea, Maurizio Parton, Paolo Piccinni, Victor Vuletescu, Spin(9) geometry of the octonionic Hopf fibration, Transformation Groups (2013) 18: 845 (arXiv:1208.0899, doi:10.1007/s00031-013-9233-x)

• Maurizio Parton, Paolo Piccinni, The Role of Spin(9) in Octonionic Geometry, (arXiv:1810.06288).

On Cayley 4-planes:

• Liviu Ornea, Paolo Piccinni, Cayley 4-frames and a quaternion-Kähler reduction related to Spin(7), Proceedings of the International Congress of Differential Geometry in the memory of A. Gray, held in Bilbao, Sept. 2000 (arXiv:math/0106116)

Related $n$Lab entries

• Sp(n).Sp(1)

• Cayley 4-form

• octonionic Hopf fibration

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