Moment Maps and Combinatorial Invariants of Hamiltonian Tn̳-spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moment Maps and Combinatorial Invariants of Hamiltonian Tn̳-spaces write by Victor Guillemin. This book was released on 1994. Moment Maps and Combinatorial Invariants of Hamiltonian Tn̳-spaces available in PDF, EPUB and Kindle. The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. This book is addressed to researchers and can be used as a semester text.
Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces
Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces write by Victor Guillemin. This book was released on 2012-12-06. Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces available in PDF, EPUB and Kindle. The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. This book is addressed to researchers and can be used as a semester text.
Geometry and Physics
Geometry and Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and Physics write by H. Pedersen. This book was released on 2021-01-07. Geometry and Physics available in PDF, EPUB and Kindle. "Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts."
Toric Topology
Toric Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Toric Topology write by Megumi Harada. This book was released on 2008. Toric Topology available in PDF, EPUB and Kindle. Toric topology is the study of algebraic, differential, symplectic-geometric, combinatorial, and homotopy-theoretic aspects of a particular class of torus actions whose quotients are highly structured. The combinatorial properties of this quotient and the equivariant topology of the original manifold interact in a rich variety of ways, thus illuminating subtle aspects of both the combinatorics and the equivariant topology. Many of the motivations and guiding principles of the fieldare provided by (though not limited to) the theory of toric varieties in algebraic geometry as well as that of symplectic toric manifolds in symplectic geometry.This volume is the proceedings of the International Conference on Toric Topology held in Osaka in May-June 2006. It contains about 25 research and survey articles written by conference speakers, covering many different aspects of, and approaches to, torus actions, such as those mentioned above. Some of the manuscripts are survey articles, intended to give a broad overview of an aspect of the subject; all manuscripts consciously aim to be accessible to a broad reading audience of students andresearchers interested in the interaction of the subjects involved. We hope that this volume serves as an enticing invitation to this emerging field.
Lectures on Symplectic Geometry
Lectures on Symplectic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Symplectic Geometry write by Ana Cannas da Silva. This book was released on 2004-10-27. Lectures on Symplectic Geometry available in PDF, EPUB and Kindle. The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
