Affine Flows on 3-Manifolds
Title | Affine Flows on 3-Manifolds PDF eBook |
Author | Shigenori Matsumoto |
Publisher | American Mathematical Soc. |
Pages | 106 |
Release | 2003 |
Genre | Mathematics |
ISBN | 0821832573 |
Considers nonsingular flows on closed 3-manifolds which are transversely modeled on the real affine geometry of the plane. This book obtains classification results for three types of flows.
Foliations and the Geometry of 3-Manifolds
Title | Foliations and the Geometry of 3-Manifolds PDF eBook |
Author | Danny Calegari |
Publisher | Oxford University Press on Demand |
Pages | 378 |
Release | 2007-05-17 |
Genre | Mathematics |
ISBN | 0198570082 |
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
The Decomposition and Classification of Radiant Affine 3-Manifolds
Title | The Decomposition and Classification of Radiant Affine 3-Manifolds PDF eBook |
Author | Suhyoung Choi |
Publisher | American Mathematical Soc. |
Pages | 137 |
Release | 2001 |
Genre | Mathematics |
ISBN | 0821827049 |
An affine manifold is a manifold with torsion-free flat affine connection - a geometric topologist would define it as a manifold with an atlas of charts to the affine space with affine transition functions. This title is an in-depth examination of the decomposition and classification of radiant affine 3-manifolds - affine manifolds of the type that have a holonomy group consisting of affine transformations fixing a common fixed point.
The Role of the Spectrum in the Cyclic Behavior of Composition Operators
Title | The Role of the Spectrum in the Cyclic Behavior of Composition Operators PDF eBook |
Author | Eva A. Gallardo-Gutieŕrez |
Publisher | American Mathematical Soc. |
Pages | 98 |
Release | 2004 |
Genre | Mathematics |
ISBN | 0821834320 |
Introduction and preliminaries Linear fractional maps with an interior fixed point Non elliptic automorphisms The parabolic non automorphism Supercyclic linear fractional composition operators Endnotes Bibliography.
The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups
Title | The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups PDF eBook |
Author | Martin W. Liebeck |
Publisher | American Mathematical Soc. |
Pages | 242 |
Release | 2004 |
Genre | Mathematics |
ISBN | 0821834827 |
Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.
The Moduli Space of $N=1$ Superspheres with Tubes and the Sewing Operation
Title | The Moduli Space of $N=1$ Superspheres with Tubes and the Sewing Operation PDF eBook |
Author | Katrina Barron |
Publisher | American Mathematical Soc. |
Pages | 150 |
Release | 2003 |
Genre | Mathematics |
ISBN | 0821832603 |
Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic $N = 1$ superconformal field theory, this book defines the moduli space of $N=1$ genus-zero super-Riemann surfaces with oriented and ordered half-infinite tubes, modulo superconformal equivalence.
Derived $\ell $-Adic Categories for Algebraic Stacks
Title | Derived $\ell $-Adic Categories for Algebraic Stacks PDF eBook |
Author | Kai Behrend |
Publisher | American Mathematical Soc. |
Pages | 110 |
Release | 2003 |
Genre | Mathematics |
ISBN | 0821829297 |
This text is intended for graduate students and research mathematicians interested in algebraic geometry, category theory and homological algebra.