Diffeomorphisms And Noncommutative Analytic Torsion

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Diffeomorphisms And Noncommutative Analytic Torsion

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Author : John Lott
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Diffeomorphisms And Noncommutative Analytic Torsion written by John Lott 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 1999 with Mathematics categories.

This book is intended for graduate students and research mathematicians working in global analysis and analysis on manifolds

Diffeomorphisms And Noncommutative Analytic Torsion

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Author : John Lott
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-09-11

Diffeomorphisms And Noncommutative Analytic Torsion written by John Lott 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 Diffeomorphisms categories.

This book is intended for graduate students and research mathematicians working in global analysis and analysis on manifolds

Diffeomorphisms Analytic Torsion And Noncommutative Geometry

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Author : John Lott
language : en
Publisher:
Release Date : 1996

Diffeomorphisms Analytic Torsion And Noncommutative Geometry written by John Lott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Dynamical Zeta Functions Nielsen Theory And Reidemeister Torsion

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Author : Alexander Fel'shtyn
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Dynamical Zeta Functions Nielsen Theory And Reidemeister Torsion written by Alexander Fel'shtyn 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 2000 with Mathematics categories.

In the paper we study new dynamical zeta functions connected with Nielsen fixed point theory. The study of dynamical zeta functions is part of the theory of dynamical systems, but it is also intimately related to algebraic geometry, number theory, topology and statistical mechanics. The paper consists of four parts. Part I presents a brief account of the Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is concerned with analog of Dold congruences for the Reidemeister and Nielsen numbers. In Part IV we explain how dynamical zeta functions give rise to the Reidemeister torsion, a very important topological invariant which has useful applications in knots theory,quantum field theory and dynamical systems.

Equivariant Analytic Localization Of Group Representations

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Author : Laura Ann Smithies
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Equivariant Analytic Localization Of Group Representations written by Laura Ann Smithies 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 2001 with Mathematics categories.

This book is intended for graduate students and research mathematicians interested in topological groups, Lie groups, category theory, and homological algebra.

The Theory Of Generalized Dirichlet Forms And Its Applications In Analysis And Stochastics

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Author : Wilhelm Stannat
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

The Theory Of Generalized Dirichlet Forms And Its Applications In Analysis And Stochastics written by Wilhelm Stannat 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 1999 with Mathematics categories.

This text explores the theory of generalized Dirichlet Forms along with its applications for analysis and stochastics. Examples are provided.

Non Additive Exact Functors And Tensor Induction For Mackey Functors

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Author : Serge Bouc
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Non Additive Exact Functors And Tensor Induction For Mackey Functors written by Serge Bouc 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 2000 with Mathematics categories.

First the author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors. The main result of this section is an extension theorem: any functor defined on a suitable subcategory can be extended uniquely to a right exact functor defined on the whole category. Next those results are used to define various functors of generalized tensor induction, associated to finite bisets, between categories attached to finite groups. This includes a definition of tensor induction for Mackey functors, for cohomological Mackey functors, for p-permutation modules and algebras. This also gives a single formalism of bisets for restriction, inflation, and ordinary tensor induction for modules.

Non Uniform Lattices On Uniform Trees

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Author : Lisa Carbone
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Non Uniform Lattices On Uniform Trees written by Lisa Carbone 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 2001 with Mathematics categories.

This title provides a comprehensive examination of non-uniform lattices on uniform trees. Topics include graphs of groups, tree actions and edge-indexed graphs; $Aut(x)$ and its discrete subgroups; existence of tree lattices; non-uniform coverings of indexed graphs with an arithmetic bridge; non-uniform coverings of indexed graphs with a separating edge; non-uniform coverings of indexed graphs with a ramified loop; eliminating multiple edges; existence of arithmetic bridges. This book is intended for graduate students and research mathematicians interested in group theory and generalizations.

On The Connection Between Weighted Norm Inequalities Commutators And Real Interpolation

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Author : Jesús Bastero
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

On The Connection Between Weighted Norm Inequalities Commutators And Real Interpolation written by Jesús Bastero 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 2001 with Mathematics categories.

Introduction Calderon weights Applications to real interpolation: reiteration and extrapolation Other classes of weights Extrapolation of weighted norm inequalities via extrapolation theory Applications to function spaces Commutators defined by the K-method Generalized commutators The quasi Banach case Applications to harmonic analysis BMO type spaces associated to Calderon weights Atomic decompositions and duality References.

A New Construction Of Homogeneous Quaternionic Manifolds And Related Geometric Structures

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Author : Vicente Cortés
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

A New Construction Of Homogeneous Quaternionic Manifolds And Related Geometric Structures written by Vicente Cortés 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 2000 with Mathematics categories.

Let $V = {\mathbb R}^{p,q}$ be the pseudo-Euclidean vector space of signature $(p,q)$, $p\ge 3$ and $W$ a module over the even Clifford algebra $C\! \ell^0 (V)$. A homogeneous quaternionic manifold $(M,Q)$ is constructed for any $\mathfrak{spin}(V)$-equivariant linear map $\Pi : \wedge^2 W \rightarrow V$. If the skew symmetric vector valued bilinear form $\Pi$ is nondegenerate then $(M,Q)$ is endowed with a canonical pseudo-Riemannian metric $g$ such that $(M,Q,g)$ is a homogeneous quaternionic pseudo-Kahler manifold. If the metric $g$ is positive definite, i.e. a Riemannian metric, then the quaternionic Kahler manifold $(M,Q,g)$ is shown to admit a simply transitive solvable group of automorphisms. In this special case ($p=3$) we recover all the known homogeneous quaternionic Kahler manifolds of negative scalar curvature (Alekseevsky spaces) in a unified and direct way. If $p>3$ then $M$ does not admit any transitive action of a solvable Lie group and we obtain new families of quaternionic pseudo-Kahler manifolds. Then it is shown that for $q = 0$ the noncompact quaternionic manifold $(M,Q)$ can be endowed with a Riemannian metric $h$ such that $(M,Q,h)$ is a homogeneous quaternionic Hermitian manifold, which does not admit any transitive solvable group of isometries if $p>3$. The twistor bundle $Z \rightarrow M$ and the canonical ${\mathrm SO}(3)$-principal bundle $S \rightarrow M$ associated to the quaternionic manifold $(M,Q)$ are shown to be homogeneous under the automorphism group of the base. More specifically, the twistor space is a homogeneous complex manifold carrying an invariant holomorphic distribution $\mathcal D$ of complex codimension one, which is a complex contact structure if and only if $\Pi$ is nondegenerate. Moreover, an equivariant open holomorphic immersion $Z \rightarrow \bar{Z}$ into a homogeneous complex manifold $\bar{Z}$ of complex algebraic group is constructed. Finally, the construction is shown to have a natural mirror in the category of supermanifolds. In fact, for any $\mathfrak{spin}(V)$-equivariant linear map $\Pi : \vee^2 W \rightarrow V$ a homogeneous quaternionic supermanifold $(M,Q)$ is constructed and, moreover, a homogeneous quaternionic pseudo-Kahler supermanifold $(M,Q,g)$ if the symmetric vector valued bilinear form $\Pi$ is nondegenerate.