The Reidemeister Torsion Of 3 Manifolds PDF Download
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Author | : Liviu I. Nicolaescu |
Publisher | : Walter de Gruyter |
Total Pages | : 263 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 3110173832 |
Download The Reidemeister Torsion of 3-manifolds Book in PDF, ePub and Kindle
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 | : Samik Sen |
Publisher | : |
Total Pages | : |
Release | : 1997 |
Genre | : |
ISBN | : |
Download Computer Evaluation of the Reidemeister Torsion for 3-manifolds Book in PDF, ePub and Kindle
Author | : Vladimir Turaev |
Publisher | : Birkhäuser |
Total Pages | : 201 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879997 |
Download Torsions of 3-dimensional Manifolds Book in PDF, ePub and Kindle
From the reviews: "This is an excellent exposition about abelian Reidemeister torsions for three-manifolds." —Zentralblatt Math "This monograph contains a wealth of information many topologists will find very handy. ...Many of the new points of view pioneered by Turaev are gradually becoming mainstream and are spreading beyond the pure topology world. This monograph is a timely and very useful addition to the scientific literature." —Mathematical Reviews
Author | : Jonathan Pfaff |
Publisher | : |
Total Pages | : |
Release | : 2012 |
Genre | : |
ISBN | : |
Download Analytic Torsion Versus Reidemeister Torsion on Hyperbolic 3 -manifolds with Cusps Book in PDF, ePub and Kindle
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 | : Menal Ferrer, Pere |
Publisher | : |
Total Pages | : 110 |
Release | : 2011 |
Genre | : |
ISBN | : |
Download Higher-dimensional Reidemeister Torsion Invariants for Cusped Hyperbolic 3-manifolds Book in PDF, ePub and Kindle
Author | : Vladimir Turaev |
Publisher | : Birkhäuser |
Total Pages | : 128 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034883218 |
Download Introduction to Combinatorial Torsions Book in PDF, ePub and Kindle
This book is an introduction to combinatorial torsions of cellular spaces and manifolds with special emphasis on torsions of 3-dimensional manifolds. The first two chapters cover algebraic foundations of the theory of torsions and various topological constructions of torsions due to K. Reidemeister, J.H.C. Whitehead, J. Milnor and the author. We also discuss connections between the torsions and the Alexander polynomials of links and 3-manifolds. The third (and last) chapter of the book deals with so-called refined torsions and the related additional structures on manifolds, specifically homological orientations and Euler structures. As an application, we give a construction of the multivariable Conway polynomial of links in homology 3-spheres. At the end of the book, we briefly describe the recent results of G. Meng, C.H. Taubes and the author on the connections between the refined torsions and the Seiberg-Witten invariant of 3-manifolds. The exposition is aimed at students, professional mathematicians and physicists interested in combinatorial aspects of topology and/or in low dimensional topology. The necessary background for the reader includes the elementary basics of topology and homological algebra.
Author | : Nikolai Saveliev |
Publisher | : Walter de Gruyter |
Total Pages | : 220 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9783110162721 |
Download Lectures on the Topology of 3-manifolds Book in PDF, ePub and Kindle
Author | : Charles Benedict Thomas |
Publisher | : Cambridge University Press |
Total Pages | : 133 |
Release | : 1986-08-21 |
Genre | : Mathematics |
ISBN | : 052131576X |
Download Elliptic Structures on 3-Manifolds Book in PDF, ePub and Kindle
This volume will give a systematic exposition of known results for free actions by finite groups on S. The text begins with preliminary material on Seifert manifolds and group classification. This is followed by sections dealing with related topics including free bZe/2 and bZe/3 actions on lens/prism manifolds, the reduction theorem and tangential structure.
Author | : Léo Bénard |
Publisher | : |
Total Pages | : 0 |
Release | : 2018 |
Genre | : |
ISBN | : |
Download Reidemeister Torsion on Character Varieties Book in PDF, ePub and Kindle
In this PhD dissertation, we study a topological invariant of 3-manifolds, namely the Reidemeister torsion, as globally defined on character varieties of the fundamental group in SL(2,C). The « adjoint » torsion will be the torsion of the cohomological complex associated to the adjoint representation. We explain that it can be seen as a meromorphic differential form on the character variety, and we aim to understand its poles and zeros. They will be related with -singular points of the character variety -the topology of incompressible surfaces embedded in the 3-manifold, provided by the Culler-Shalen theory. As an application, we prove a relation between the genus of those incompressible surface and the genus of the character variety. The « acyclic » torsion of the standard complex is a rational function on the character variety. We study its poles at infinity in the character variety, and we give sufficient conditions for this torsion to be non constant.
Author | : Xianzhe Dai |
Publisher | : Springer Science & Business Media |
Total Pages | : 401 |
Release | : 2012-06-01 |
Genre | : Mathematics |
ISBN | : 3034802579 |
Download Metric and Differential Geometry Book in PDF, ePub and Kindle
Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang