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| Author | : |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 320 |
| Release | : 1999 |
| Genre | : Topology |
| ISBN | : 9780821855676 |
| Author | : Melvin Rothenberg |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 334 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821813625 |
This volume presents the proceedings of the Tel Aviv International Topology Conference held during the Special Topology Program at Tel Aviv University. The book is dedicated to Professor Mel Rothenberg on the occasion of his 65th birthday. His contributions to topology are well known-from the early work on triangulations to numerous papers on transformation groups and on geometric and analytic aspects of torsion theory. Current research related to those contributions are reported in this book. Coverage is included on the following topics: vanishing theorems for the Dirac operator, the theory of Reidemeister torsion (including infinite dimensional flat bundles), Nobikov-Shubin invariants of manifolds, topology of group actions, Lusternik-Schnirelman theory for closed 1-forms, finite type invariants of links and 3-manifolds, equivariant cobordisms, equivariant orientations and Thom isomorphisms, and more.
| Author | : |
| Publisher | : |
| Total Pages | : 320 |
| Release | : 1999 |
| Genre | : Topology |
| ISBN | : |
| Author | : Michael Farber |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
| Author | : Wolfgang Lück |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 604 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662046873 |
In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.
| Author | : Nicholas Kuhn |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 370 |
| Release | : 2001-04-25 |
| Genre | : Mathematics |
| ISBN | : 0821826212 |
This volume presents the proceedings from the AMS-IMS-SIAM Summer Research Conference on Homotopy Methods in Algebraic Topology held at the University of Colorado (Boulder). The conference coincided with the sixtieth birthday of J. Peter May. An article is included reflecting his wide-ranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and real-oriented Adams spectral sequences, mapping class groups, configuration spaces, extended powers, operads, the telescope conjecture, $p$-compact groups, algebraic K theory, stable and unstable splittings, the calculus of functors, the $E_{\infty}$ tensor product, and equivariant cohomology theories. The book offers a compendious source on modern aspects of homotopy theoretic methods in many algebraic settings.
| Author | : Katharina Habermann |
| Publisher | : Springer |
| Total Pages | : 131 |
| Release | : 2006-10-28 |
| Genre | : Mathematics |
| ISBN | : 3540334211 |
This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.
| Author | : Peter B. Gilkey |
| Publisher | : CRC Press |
| Total Pages | : 312 |
| Release | : 2003-12-17 |
| Genre | : Mathematics |
| ISBN | : 0203490460 |
A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computi
| Author | : Hanna Nencka |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 266 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821808842 |
"The book has two main parts. The first is devoted to the Poincare conjecture, characterizations of PL-manifolds, covering quadratic forms of links and to categories in low dimensional topology that appear in connection with conformal and quantum field theory.
| Author | : Mikhail Lyubich |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 250 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 0821819852 |
This volume is based on a conference held at SUNY, Stony Brook (NY). The concepts of laminations and foliations appear in a diverse number of fields, such as topology, geometry, analytic differential equations, holomorphic dynamics, and renormalization theory. Although these areas have developed deep relations, each has developed distinct research fields with little interaction among practitioners. The conference brought together the diverse points of view of researchers from different areas. This book includes surveys and research papers reflecting the broad spectrum of themes presented at the event. Of particular interest are the articles by F. Bonahon, "Geodesic Laminations on Surfaces", and D. Gabai, "Three Lectures on Foliations and Laminations on 3-manifolds", which are based on minicourses that took place during the conference.
