Hamiltonian Group Actions and Equivariant Cohomology

• Κύριοι συγγραφείς: Dwivedi, Shubham (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Herman, Jonathan (http://id.loc.gov/vocabulary/relators/aut), Jeffrey, Lisa C. (http://id.loc.gov/vocabulary/relators/aut), van den Hurk, Theo (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Topology.; Geometry.

This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps...

Πίνακας περιεχομένων:

• Symplectic vector spaces
• Hamiltonian group actions
• The Darboux-Weinstein Theorem
• Elementary properties of moment maps
• The symplectic structure on coadjoint orbits
• Symplectic Reduction
• Convexity
• Toric Manifolds
• Equivariant Cohomology
• The Duistermaat-Heckman Theorem
• Geometric Quantization
• Flat connections on 2-manifolds. .