Symplectic Torus Actions

Author : Michèle Audin
Publisher : Birkhäuser
ISBN 13 : 3034872216
Total Pages : 181 pages
Book Rating : 4.18/5 ( download)

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Download or read book The Topology of Torus Actions on Symplectic Manifolds written by Michèle Audin and published by Birkhäuser. This book was released on 2012-12-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9386279304
Total Pages : 140 pages
Book Rating : 4.09/5 ( download)

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Download or read book Transformation Groups written by Goutam Mukherjee and published by Springer. This book was released on 2005-04-15 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed lectures presented earlier at Winter School on Transformation Groups.

Author : Alvaro Pelayo
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.27/5 ( download)

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Download or read book Symplectic Torus Actions written by Alvaro Pelayo and published by . This book was released on 2007 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michèle Audin
Publisher : Birkhäuser
ISBN 13 : 3034879601
Total Pages : 331 pages
Book Rating : 4.06/5 ( download)

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Download or read book Torus Actions on Symplectic Manifolds written by Michèle Audin and published by Birkhäuser. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ana Cannas da Silva
Publisher : Springer
ISBN 13 : 354045330X
Total Pages : 240 pages
Book Rating : 4.07/5 ( download)

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Download or read book Lectures on Symplectic Geometry written by Ana Cannas da Silva and published by Springer. This book was released on 2004-10-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Victor M. Buchstaber
Publisher : American Mathematical Soc.
ISBN 13 : 147042214X
Total Pages : 534 pages
Book Rating : 4.41/5 ( download)

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Download or read book Toric Topology written by Victor M. Buchstaber and published by American Mathematical Soc.. This book was released on 2015-07-15 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are moment-angle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of moment-angle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and non-Kaehler complex geometry. A related categorical construction of moment-angle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area.

Author : Milena Dorota Pabiniak
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.41/5 ( download)

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Download or read book Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology written by Milena Dorota Pabiniak and published by . This book was released on 2012 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Alvaro Pelayo
Publisher : American Mathematical Soc.
ISBN 13 : 0821847139
Total Pages : 96 pages
Book Rating : 4.38/5 ( download)

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Download or read book Symplectic Actions of $2$-Tori on $4$-Manifolds written by Alvaro Pelayo and published by American Mathematical Soc.. This book was released on 2010-02-22 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Andrew L. Fanoe
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.13/5 ( download)

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Download or read book Properties of Hamiltonian Torus Actions on Closed Symplectic Manifolds written by Andrew L. Fanoe and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This lends support to the conjecture that there are no such actions with a non-empty set of isolated fixed points.

Author : Robert H. Dijkgraaf
Publisher : Springer Science & Business Media
ISBN 13 : 1461242649
Total Pages : 570 pages
Book Rating : 4.42/5 ( download)

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Download or read book The Moduli Space of Curves written by Robert H. Dijkgraaf and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.