Torus Actions On Symplectic Manifolds PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Torus Actions On Symplectic Manifolds PDF full book. Access full book title Torus Actions On Symplectic Manifolds.
Author | : Michèle Audin |
Publisher | : Birkhäuser |
Total Pages | : 331 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879601 |
Download Torus Actions on Symplectic Manifolds Book in PDF, ePub and Kindle
The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
Author | : Michèle Audin |
Publisher | : Birkhäuser |
Total Pages | : 181 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034872216 |
Download The Topology of Torus Actions on Symplectic Manifolds Book in PDF, ePub and Kindle
The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
Author | : Michèle Audin |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2004-09-27 |
Genre | : Computers |
ISBN | : 9783764321765 |
Download Torus Actions On Symplectic Manifolds Book in PDF, ePub and Kindle
The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
Author | : Goutam Mukherjee |
Publisher | : Springer |
Total Pages | : 140 |
Release | : 2005-04-15 |
Genre | : Mathematics |
ISBN | : 9386279304 |
Download Transformation Groups Book in PDF, ePub and Kindle
Contributed lectures presented earlier at Winter School on Transformation Groups.
Author | : Alvaro Pelayo |
Publisher | : American Mathematical Soc. |
Total Pages | : 96 |
Release | : 2010-02-22 |
Genre | : Mathematics |
ISBN | : 0821847139 |
Download Symplectic Actions of $2$-Tori on $4$-Manifolds Book in PDF, ePub and Kindle
In this paper the author classifies symplectic actions of $2$-tori on compact connected symplectic $4$-manifolds, up to equivariant symplectomorphisms. This extends results of Atiyah, Guillemin-Sternberg, Delzant and Benoist. The classification is in terms of a collection of invariants of the topology of the manifold, of the torus action and of the symplectic form. The author constructs explicit models of such symplectic manifolds with torus actions, defined in terms of these invariants.
Author | : Alvaro Pelayo |
Publisher | : |
Total Pages | : 574 |
Release | : 2007 |
Genre | : |
ISBN | : |
Download Symplectic Torus Actions Book in PDF, ePub and Kindle
Author | : V. M. Buchstaber |
Publisher | : American Mathematical Soc. |
Total Pages | : 154 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821831860 |
Download Torus Actions and Their Applications in Topology and Combinatorics Book in PDF, ePub and Kindle
Here, the study of torus actions on topological spaces is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. Conversely, subtle properties of a combinatorial object can be realized by interpreting it as the orbit structure for a propermanifold or as a complex acted on by a torus. The latter can be a symplectic manifold with Hamiltonian torus action, a toric variety or manifold, a subspace arrangement complement, etc., while the combinatorial objects include simplicial and cubical complexes, polytopes, and arrangements. This approachalso provides a natural topological interpretation in terms of torus actions of many constructions from commutative and homological algebra used in combinatorics. The exposition centers around the theory of moment-angle complexes, providing an effective way to study invariants of triangulations by methods of equivariant topology. The book includes many new and well-known open problems and would be suitable as a textbook. It will be useful for specialists both in topology and in combinatoricsand will help to establish even tighter connections between the subjects involved.
Author | : Milena Dorota Pabiniak |
Publisher | : |
Total Pages | : 124 |
Release | : 2012 |
Genre | : |
ISBN | : |
Download Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Book in PDF, ePub and Kindle
The central theme of this work are Hamiltonian torus actions on symplectic manifolds. We investigate the invariants of the action, and use the action to answer questions about the invariants of the manifold itself.
Author | : Andrew L. Fanoe |
Publisher | : |
Total Pages | : |
Release | : 2013 |
Genre | : |
ISBN | : |
Download Properties of Hamiltonian Torus Actions on Closed Symplectic Manifolds Book in PDF, ePub and Kindle
This lends support to the conjecture that there are no such actions with a non-empty set of isolated fixed points.
Author | : Ana Cannas da Silva |
Publisher | : Springer |
Total Pages | : 240 |
Release | : 2004-10-27 |
Genre | : Mathematics |
ISBN | : 354045330X |
Download Lectures on Symplectic Geometry Book 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.