The geometry of infinite-dimensional groups

Format Post in Geosciences BY Boris Khesin, Robert Wendt

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The geometry of infinite-dimensional groups Boris Khesin, Robert Wendt
Type:	eBook
Released:	2008
Publisher:	Springer
Page Count:	312
Format:	pdf
Language:	English
ISBN-10:	3540772626
ISBN-13:	9783540772620

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry.The geometry of infinite-dimensional ... Textbook While infinite-dimensional groups often exhibit very peculiar features, this book describes unifying geometric ideas of the theory and gives numerous illustrations and examples, ranging from the classification of the Virasoro coadjoint orbits to knot theory, from optimal mass transport to moduli spaces of flat connections on surfaces. The text includes many exercises and open questions, and it is accessible to both students and researchers in Lie theory, geometry, and Hamiltonian systems.