Titlebook: Stochastic Geometric Mechanics; CIB, Lausanne, Switz Sergio Albeverio,Ana Bela Cruzeiro,Darryl Holm Conference proceedings 2017 Springer In

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Covariant Central Extensions of Gauge Lie Algebras,Motivated by positive energy representations, we classify those continuous central extensions of the compactly supported gauge Lie algebra that are covariant under a 1-parameter group of transformations of the base manifold.

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Sergio Albeverio,Ana Bela Cruzeiro,Darryl HolmDevelops a synergistic framework of relationships among the key mathematical fields in the new science of stochastic geometric mechanics.Provides multiple pathways of communication and learning that l

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Four Chapters on Low-Dimensional Gauge Theories, mathematical-physical ideas underlying low-dimensional gauge theories, and some of the mathematical results which were obtained in the last twenty years on 2-dimensional Yang–Mills and 3-dimensional Chern–Simons theories.

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