THE PONTRJAGIN–HOPF INVARIANTS FOR SOBOLEV MAPS

DOI10.1142/S0219199710003695zbMath1198.58009arXiv0711.0546OpenAlexW2964027045MaRDI QIDQ5306082

David Auckly, Lev Kapitanski

Publication date: 29 March 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0546

zbMATH Keywords

variational problemsHopf invariantSkyrme modelSobolev mapsintegralityFaddeev modelPontrjagin invariant

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items

Fermionic quantization and configuration spaces for the Skyrme and Faddeev-Hopf models, GAUGE THEORY OF FADDEEV–SKYRME FUNCTIONALS, A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces

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