Sign In | Not yet a member? | Submit your article
 
Home   Technical   Study   Novel   Nonfiction   Health   Tutorial   Entertainment   Business   Magazine   Arts & Design   Audiobooks & Video Training   Cultures & Languages   Family & Home   Law & Politics   Lyrics & Music   Software Related   eBook Torrents   Uncategorized  

Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98)
Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98)
Date: 23 May 2011, 06:04

Free Download Now     Free register and download UseNet downloader, then you can FREE Download from UseNet.

    Download without Limit " Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98) " from UseNet for FREE!
Product Description: This research monograph presents many new results in a rapidly developing area of great current interest. Guillemin, Ginzburg, and Karshon show that the underlying topological thread in the computation of invariants of G-manifolds is a consequence of a linearization theorem involving equivariant cobordisms. The book incorporates a novel approach and showcases exciting new research. During the last 20 years, ``localization'' has been one of the dominant themes in the area of equivariant differential geometry. Typical results are the Duistermaat-Heckman theory, the Berline-Vergne-Atiyah-Bott localization theorem in equivariant de Rham theory, and the ``quantization commutes with reduction'' theorem and its various corollaries. To formulate the idea that these theorems are all consequences of a single result involving equivariant cobordisms, the authors have developed a cobordism theory that allows the objects to be non-compact manifolds. A key ingredient in this non-compact cobordism is an equivariant-geometrical object which they call an ``abstract moment map''. This is a natural and important generalization of the notion of a moment map occurring in the theory of Hamiltonian dynamics. The book contains a number of appendices that include introductions to proper group-actions on manifolds, equivariant cohomology, Spin${^\mathrm{c}}$-structures, and stable complex structures. It is geared toward graduate students and research mathematicians interested in differential geometry. It is also suitable for topologists, Lie theorists, combinatorists, and theoretical physicists. Prerequisite is some expertise in calculus on manifolds and basic graduate-level differential geometry.

DISCLAIMER:

This site does not store Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98) on its server. We only index and link to Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98) provided by other sites. Please contact the content providers to delete Moment Maps, Cobordisms, and Hamiltonian Group Actions (Mathematical Surveys and Monographys, Vol. 98) if any and email us, we'll remove relevant links or contents immediately.



Comments

Comments (0) All

Verify: Verify

    Sign In   Not yet a member?


Popular searches