Carte Geometry of Infinite-Dimensional Groups Boris A. Khesin

Geometry of Infinite-Dimensional Groups

Limbă: engleză
Legare: Carte broșată
Disponibilitate: În depozitul extern
Expediem în 10-18 zile
813.34 lei
This monograph gives an overview of various classes of infinite-dimensional Lie groups and their app...

Informații despre carte

Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2009
Pagini
304
EAN
9783540852056
ISBN
3540852050
Enbook ID
01570419
Greutate
490
Dimensiuni
233 x 155 x 21

Descriere completă

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. 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.

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