Rational parametrisation of normalised Stiefel manifolds, and explicit non-'t Hooft solutions of the Atiyah-Drinfeld-HitchinManin instanton matrix equations for Sp(n)

DOI10.1007/BF00401473zbMath0489.58038MaRDI QIDQ1166817

Patrick J. McCarthy

Publication date: 1981

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

symplectic grouprational solutionsquaternionic Stiefel manifoldsAtiyah- Drinfeld-Hitchin-Manin instanton matrix equationsexplicit non-'t Hooft solutionsrational parametrisation of normalised Stiefel manifolds

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Constructive quantum field theory (81T08) Applications of PDEs on manifolds (58J90) Exterior algebra, Grassmann algebras (15A75)

Related Items (1)

Moduli of symplectic instanton vector bundles of higher rank on projective space \(\mathbb P^3\)

Cites Work

• The calculus of jets and nonlinear Hamiltonian systems
• A description of instantons
• Vector Bundles on the Punctured Spectrum of a Local Ring

This page was built for publication: Rational parametrisation of normalised Stiefel manifolds, and explicit non-'t Hooft solutions of the Atiyah-Drinfeld-HitchinManin instanton matrix equations for Sp(n)