Symplectic Actions Of 2 Tori On 4 Manifolds
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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 | : 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 | : 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 | : Klaus Thomsen |
Publisher | : American Mathematical Soc. |
Total Pages | : 138 |
Release | : 2010-06-11 |
Genre | : Mathematics |
ISBN | : 0821846922 |
Download $C^*$-Algebras of Homoclinic and Heteroclinic Structure in Expansive Dynamics Book in PDF, Epub and Kindle
The author unifies various constructions of $C^*$-algebras from dynamical systems, specifically, the dimension group construction of Krieger for shift spaces, the corresponding constructions of Wagoner and Boyle, Fiebig and Fiebig for countable state Markov shifts and one-sided shift spaces, respectively, and the constructions of Ruelle and Putnam for Smale spaces. The general setup is used to analyze the structure of the $C^*$-algebras arising from the homoclinic and heteroclinic equivalence relations in expansive dynamical systems, in particular, expansive group endomorphisms and automorphisms and generalized 1-solenoids. For these dynamical systems it is shown that the $C^*$-algebras are inductive limits of homogeneous or sub-homogeneous algebras with one-dimensional spectra.
Author | : Montserrat Casals-Ruiz |
Publisher | : American Mathematical Soc. |
Total Pages | : 168 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821852582 |
Download On Systems of Equations Over Free Partially Commutative Groups Book in PDF, Epub and Kindle
"Volume 212, number 999 (end of volume)."
Author | : Olivier Alvarez |
Publisher | : American Mathematical Soc. |
Total Pages | : 90 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0821847155 |
Download Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations Book in PDF, Epub and Kindle
"Volume 204, number 960 (fourth of 5 numbers)."
Author | : Makoto Sakai |
Publisher | : American Mathematical Soc. |
Total Pages | : 282 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0821848100 |
Download Small Modifications of Quadrature Domains Book in PDF, Epub and Kindle
For a given plane domain, the author adds a constant multiple of the Dirac measure at a point in the domain and makes a new domain called a quadrature domain. The quadrature domain is characterized as a domain such that the integral of a harmonic and integrable function over the domain equals the integral of the function over the given domain plus the integral of the function with respect to the added measure. The family of quadrature domains can be modeled as the Hele-Shaw flow with a free-boundary problem. The given domain is regarded as the initial domain and the support point of the Dirac measure as the injection point of the flow.
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.
Author | : Daniel Allcock |
Publisher | : American Mathematical Soc. |
Total Pages | : 89 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821847511 |
Download The Moduli Space of Cubic Threefolds as a Ball Quotient Book in PDF, Epub and Kindle
"Volume 209, number 985 (fourth of 5 numbers)."
Author | : Mark P. Walsh |
Publisher | : American Mathematical Soc. |
Total Pages | : 105 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 082185304X |
Download Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I Book in PDF, Epub and Kindle
It is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. The author shows that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five.