Download or read book Multiaxial Actions on Manifolds written by M. Davis and published by Springer. This book was released on 2006-11-15 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Group Actions on Manifolds written by Reinhard Schultz and published by American Mathematical Soc.. This book was released on 1985 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.
Download or read book Computers Rigidity and Moduli written by Shmuel Weinberger and published by Princeton University Press. This book was released on 2020-12-08 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence of extrema or equilibria follow. The main sort of algorithmic problem that arises is recognition: is the presented object equivalent to some standard one? If it is difficult to determine whether the problem is solvable, then the original object has doppelgängers--that is, other objects that are extremely difficult to distinguish from it. Many new questions emerge about the algorithmic nature of known geometric theorems, about "dichotomy problems," and about the metric entropy of moduli space. Weinberger studies them using tools from group theory, computability, differential geometry, and topology, all of which he explains before use. Since several examples are worked out, the overarching principles are set in a clear relief that goes beyond the details of any one problem.
Download or read book Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity II written by Eldar Straume and published by American Mathematical Soc.. This book was released on 1997 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. We are concerned with the classification of differentiable compact connected Lie transformation groups on (homology) spheres, with [italic]c [less than or equal to symbol] 2, and the main results are summarized in five theorems, A, B, C, D, and E in part I. This paper is part II of the project, and addresses theorems D and E. D examines the orthogonal model from theorem A and orbit structures, while theorem E addresses the existence of "exotic" [italic capital]G-spheres.
Download or read book A F te of Topology written by Y. Matsumoto and published by Academic Press. This book was released on 2014-05-10 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Fête of Topology: Papers Dedicated to Itiro Tamura focuses on the progress in the processes, methodologies, and approaches involved in topology, including foliations, cohomology, and surface bundles. The publication first takes a look at leaf closures in Riemannian foliations and differentiable singular cohomology for foliations. Discussions focus on differentiable singular chains restricted to leaves, differentiable singular cohomology for foliations, covering of pseudogroups and fundamental group, normal type of an orbit closure, and construction of a global model. The text then takes a look at measure of exceptional minimal sets of codimension one foliations, examples of exceptional minimal sets, foliations transverse to non-singular Morse-Smale flows, and Chern character for discrete groups. The manuscript ponders on characteristic classes of surface bundles and bounded cohomology, Hill's equation, isomonodromy deformation and characteristic classes, and topology of folds, cusps, and Morin singularities. Topics include system of Hill's equations, Lagrange-Grassman manifold, positive curves, Morse theory, bounded cohomology, and characteristic classes of surface bundles. The publication is a vital source of information for researchers interested in topology.
Download or read book Equivariant Surgery Theories and Their Periodicity Properties written by Karl H. Dovermann and published by Springer. This book was released on 2006-11-14 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways. This book discusses some basic properties that such theories have in common. Special emphasis is placed on analogs of the fourfold periodicity theorems in ordinary surgery and the roles of standard general position hypotheses on the strata of manifolds with group actions. The contents of the book presuppose some familiarity with the basic ideas of surgery theory and transformation groups, but no previous knowledge of equivariant surgery is assumed. The book is designed to serve either as an introduction to equivariant surgery theory for advanced graduate students and researchers in related areas, or as an account of the authors' previously unpublished work on periodicity for specialists in surgery theory or transformation groups.
Download or read book Prospects in Topology AM 138 Volume 138 written by Frank Quinn and published by Princeton University Press. This book was released on 2016-03-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations. The contributors include A. Adem, A. H. Assadi, M. Bökstedt, S. E. Cappell, R. Charney, M. W. Davis, P. J. Eccles, M. H. Freedman, I. Hambleton, J. C. Hausmann, S. Illman, G. Katz, M. Kreck, W. Lück, I. Madsen, R. J. Milgram, J. Morava, E. K. Pedersen, V. Puppe, F. Quinn, A. Ranicki, J. L. Shaneson, D. Sullivan, P. Teichner, Z. Wang, and S. Weinberger.
Download or read book Surveys on Surgery Theory AM 149 Volume 2 written by Sylvain Cappell and published by Princeton University Press. This book was released on 2014-09-08 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.
Download or read book Ergodic Theory written by M. Denker and published by Springer. This book was released on 2006-11-15 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the Memory of Rufus Bowen (1947-1978)
Download or read book Number Theory Carbondale 1979 written by M.B. Nathanson and published by Springer. This book was released on 2006-11-15 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: a
Download or read book Differential Operators for Partial Differential Equations and Function Theoretic Applications written by K. W. Bauer and published by Springer. This book was released on 2007-02-08 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Victoria Symposium on Nonstandard Analysis written by A. Hurd and published by Springer. This book was released on 2006-11-15 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Integrals written by D. Williams and published by Springer. This book was released on 2006-11-15 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ring Theory Waterloo 1978 written by D. Handelman and published by Springer. This book was released on 2007-01-05 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ring theory conference took place at the University of Waterloo, 12-16 June 1978, and these are its proceedings. This conference was held as a part of the Summer Research Institute in Ring Theory, at Waterloo, sponsored by the Canadian Mathematical Society. In soliciting speakers, and contributors to the Proceedings, we attempted to represent those portions of ring theory which seemed to us interesting. There was thus considerable emphasis on lower K-theory and related topics, Artinian and Noetherian rings, as well as actions and representations of groups on rings. Regrettably, we could only obtain one paper in the mainstream of commutative ring theory, but we believe that the lack of quantity is more than made up for by the quality. We also took the liberty of including a survey of results in a field which we feel deserves more attention by ring theorists, C* algebras from an algebraic point of view.
Download or read book Complex Analysis and Spectral Theory written by V. P. Havin and published by Springer. This book was released on 2006-12-08 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Volterra Equations written by S.-O. Londen and published by Springer. This book was released on 2006-11-15 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts
Download or read book Topology Symposium Siegen 1979 written by Ulrich Koschorke and published by Springer. This book was released on 2006-12-08 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt:
