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Noncommutative Curves Of Genus Zero


Noncommutative Curves Of Genus Zero
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Noncommutative Curves Of Genus Zero


Noncommutative Curves Of Genus Zero
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Author : Dirk Kussin
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-09-11

Noncommutative Curves Of Genus Zero written by Dirk Kussin and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with MATHEMATICS categories.




Noncommutative Curves Of Genus Zero


Noncommutative Curves Of Genus Zero
DOWNLOAD
Author : Dirk Kussin
language : en
Publisher: American Mathematical Soc.
Release Date :

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 with Mathematics categories.




Noncommutative Curves Of Genus Zero


Noncommutative Curves Of Genus Zero
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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.



Symplectic Poisson And Noncommutative Geometry


Symplectic Poisson And Noncommutative Geometry
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Author : Tohru Eguchi
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-25

Symplectic Poisson And Noncommutative Geometry written by Tohru Eguchi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-25 with Mathematics categories.


This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.



Operator Theory On Noncommutative Domains


Operator Theory On Noncommutative Domains
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Author : Gelu Popescu
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Operator Theory On Noncommutative Domains written by Gelu Popescu 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 964 (third of 5 numbers)."



Noncommutative Differential Geometry And Its Applications To Physics


Noncommutative Differential Geometry And Its Applications To Physics
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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


Points And Curves In The Monster Tower
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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.



Quantum Field Theory And Noncommutative Geometry


Quantum Field Theory And Noncommutative Geometry
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Author : Ursula Carow-Watamura
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-02-21

Quantum Field Theory And Noncommutative Geometry written by Ursula Carow-Watamura 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 2005-02-21 with Mathematics categories.


This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field.



Two Kinds Of Derived Categories Koszul Duality And Comodule Contramodule Correspondence


Two Kinds Of Derived Categories Koszul Duality And Comodule Contramodule Correspondence
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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


Unfolding Cr Singularities
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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)."