Noncommutative Curves Of Genus Zero

DOWNLOAD

Download Noncommutative Curves Of Genus Zero PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Noncommutative Curves Of Genus Zero book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Noncommutative Curves Of Genus Zero

DOWNLOAD
Author : Dirk Kussin
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-08-07

Noncommutative Curves Of Genus Zero written by Dirk Kussin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-07 with Mathematics categories.

In these notes the author investigates noncommutative smooth projective curves of genus zero, also called exceptional curves. As a main result he shows that each such curve $\mathbb{X}$ admits, up to some weighting, a projective coordinate algebra which is a not necessarily commutative graded factorial domain $R$ in the sense of Chatters and Jordan. Moreover, there is a natural bijection between the points of $\mathbb{X}$ and the homogeneous prime ideals of height one in $R$, and these prime ideals are principal in a strong sense.

Noncommutative Differential Geometry And Its Applications To Physics

DOWNLOAD
Author : Yoshiaki Maeda
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Noncommutative Differential Geometry And Its Applications To Physics written by Yoshiaki Maeda and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of Atiyah-Singer index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments. However, noncommutative differential geometry was not well understood even among mathematicians. Therefore, an international symposium on commutative differential geometry and its applications to physics was held in Japan, in July 1999. Topics covered included: deformation problems, Poisson groupoids, operad theory, quantization problems, and D-branes. The meeting was attended by both mathematicians and physicists, which resulted in interesting discussions. This volume contains the refereed proceedings of this symposium. Providing a state of the art overview of research in these topics, this book is suitable as a source book for a seminar in noncommutative geometry and physics.

Points And Curves In The Monster Tower

DOWNLOAD
Author : Richard Montgomery
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-01-15

Points And Curves In The Monster Tower written by Richard Montgomery and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-15 with Mathematics categories.

Cartan introduced the method of prolongation which can be applied either to manifolds with distributions (Pfaffian systems) or integral curves to these distributions. Repeated application of prolongation to the plane endowed with its tangent bundle yields the Monster tower, a sequence of manifolds, each a circle bundle over the previous one, each endowed with a rank $2$ distribution. In an earlier paper (2001), the authors proved that the problem of classifying points in the Monster tower up to symmetry is the same as the problem of classifying Goursat distribution flags up to local diffeomorphism. The first level of the Monster tower is a three-dimensional contact manifold and its integral curves are Legendrian curves. The philosophy driving the current work is that all questions regarding the Monster tower (and hence regarding Goursat distribution germs) can be reduced to problems regarding Legendrian curve singularities.

On Systems Of Equations Over Free Partially Commutative Groups

DOWNLOAD
Author : Montserrat Casals-Ruiz
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

On Systems Of Equations Over Free Partially Commutative Groups written by Montserrat Casals-Ruiz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

"Volume 212, number 999 (end of volume)."

Small Modifications Of Quadrature Domains

DOWNLOAD
Author : Makoto Sakai
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Small Modifications Of Quadrature Domains written by Makoto Sakai and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

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.

Two Kinds Of Derived Categories Koszul Duality And Comodule Contramodule Correspondence

DOWNLOAD
Author : Leonid Positselski
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Two Kinds Of Derived Categories Koszul Duality And Comodule Contramodule Correspondence written by Leonid Positselski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

"July 2011, volume 212, number 996 (first of 4 numbers)."

Unfolding Cr Singularities

DOWNLOAD
Author : Adam Coffman
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Unfolding Cr Singularities written by Adam Coffman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

"Volume 205, number 962 (first of 5 numbers)."

Q Valued Functions Revisited

DOWNLOAD
Author : Camillo De Lellis
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Q Valued Functions Revisited written by Camillo De Lellis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

In this memoir the authors revisit Almgren's theory of $Q$-valued functions, which are functions taking values in the space $\mathcal{A}_Q(\mathbb{R}^{n})$ of unordered $Q$-tuples of points in $\mathbb{R}^{n}$. In particular, the authors: give shorter versions of Almgren's proofs of the existence of $\mathrm{Dir}$-minimizing $Q$-valued functions, of their Holder regularity, and of the dimension estimate of their singular set; propose an alternative, intrinsic approach to these results, not relying on Almgren's biLipschitz embedding $\xi: \mathcal{A}_Q(\mathbb{R}^{n})\to\mathbb{R}^{N(Q,n)}$; improve upon the estimate of the singular set of planar $\mathrm{D}$-minimizing functions by showing that it consists of isolated points.

Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space

DOWNLOAD
Author : Zeng Lian
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space written by Zeng Lian and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. The authors prove a multiplicative ergodic theorem and then use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.

Differential Forms On Wasserstein Space And Infinite Dimensional Hamiltonian Systems

DOWNLOAD
Author : Wilfrid Gangbo
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Differential Forms On Wasserstein Space And Infinite Dimensional Hamiltonian Systems written by Wilfrid Gangbo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

Let $\mathcal{M}$ denote the space of probability measures on $\mathbb{R}^D$ endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in $\mathcal{M}$ was introduced by Ambrosio, Gigli, and Savare. In this paper the authors develop a calculus for the corresponding class of differential forms on $\mathcal{M}$. In particular they prove an analogue of Green's theorem for 1-forms and show that the corresponding first cohomology group, in the sense of de Rham, vanishes. For $D=2d$ the authors then define a symplectic distribution on $\mathcal{M}$ in terms of this calculus, thus obtaining a rigorous framework for the notion of Hamiltonian systems as introduced by Ambrosio and Gangbo. Throughout the paper the authors emphasize the geometric viewpoint and the role played by certain diffeomorphism groups of $\mathbb{R}^D$.