Analytic Torsion Versus Reidemeister Torsion on Hyperbolic 3 -manifolds with Cusps PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Analytic Torsion Versus Reidemeister Torsion on Hyperbolic 3 -manifolds with Cusps PDF full book. Access full book title Analytic Torsion Versus Reidemeister Torsion on Hyperbolic 3 -manifolds with Cusps by Jonathan Pfaff. Download full books in PDF and EPUB format.
Author: Jonathan Pfaff Publisher: ISBN: Category : Languages : en Pages :
Book Description
For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of SL2(C) to the corresponding Reidemeister torsion. Ourf proof rests on an expression of the analytic torsion in terms of special values of Ruelle zeta functions as well as on recent work of Pere Menal-Ferrer and Joan Porti.
Author: Jonathan Pfaff Publisher: ISBN: Category : Languages : en Pages :
Book Description
For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of SL2(C) to the corresponding Reidemeister torsion. Ourf proof rests on an expression of the analytic torsion in terms of special values of Ruelle zeta functions as well as on recent work of Pere Menal-Ferrer and Joan Porti.
Author: Pierre Albin Publisher: American Mathematical Soc. ISBN: 1470444224 Category : Education Languages : en Pages : 126
Book Description
Manifolds with fibered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with fibered cusps in terms of the R-torsion of the underlying manifold with boundary.
Author: Pierre Charollois Publisher: Springer Nature ISBN: 3030652033 Category : Mathematics Languages : en Pages : 324
Book Description
This book is an outgrowth of the conference “Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are: • Additive polylogarithms • Analytic torsions • Chabauty-Kim theory • Local Grothendieck-Riemann-Roch theorems • Periods • Syntomic regulator The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk.
Author: Liviu I. Nicolaescu Publisher: Walter de Gruyter ISBN: 3110173832 Category : Mathematics Languages : en Pages : 263
Book Description
This work discusses the theoretical foundations of torsion, one of the oldest topological variants. It presents the work of Reidmeister, Taubes, Turaev and the author, focusing particularly on diverse examples and techniques rather than abstract generalizations.
Author: Werner Müller Publisher: Springer ISBN: 3319414240 Category : Mathematics Languages : en Pages : 581
Book Description
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
Author: Frank Calegari Publisher: ISBN: Category : Algebra, Homological Languages : en Pages : 244
Book Description
"We prove a numerical form of a Jacquet-Langlands correspondence for torsion classes on arithmetic hyperbolic 3-manifolds." -- Prové de l'editor.
Author: Jean-Benoît Bost Publisher: Birkhäuser ISBN: 3319496387 Category : Mathematics Languages : fr Pages : 363
Book Description
This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S. K. Donaldson J. Dubédat B. Duplantier G. Faltings E. Getzler G. Kings R. Mazzeo J. Millson C. Moeglin W. Müller R. Rhodes D. Rössler S. Sheffield A. Teleman G. Tian K-I. Yoshikawa H. Weiss W. Werner The collection is a valuable resource for graduate students and researchers in these fields.
Author: Motoko Kotani Publisher: American Mathematical Soc. ISBN: 0821842692 Category : Mathematics Languages : en Pages : 363
Book Description
This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007. Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.
Author: Jonathan Pfaff
Author: Jonathan Pfaff
Author: Pierre Albin
Author: Menal Ferrer, Pere
Author: Pierre Charollois
Author: Liviu I. Nicolaescu
Author: Werner Müller
Author: Frank Calegari
Author: Jean-Benoît Bost
Author: Motoko Kotani
Author: Samik Sen