Download or read book Fixed Point Free Involutions and Equivariant Maps written by Pierre E. Conner and published by . This book was released on 1960 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fixed point free involutions and equivariant maps written by Pierre E. Conner and published by . This book was released on 1960 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fixed Point Theory of Parametrized Equivariant Maps written by Hanno Ulrich 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: The first part of this research monograph discusses general properties of G-ENRBs - Euclidean Neighbourhood Retracts over B with action of a compact Lie group G - and their relations with fibrations, continuous submersions, and fibre bundles. It thus addresses equivariant point set topology as well as equivariant homotopy theory. Notable tools are vertical Jaworowski criterion and an equivariant transversality theorem. The second part presents equivariant cohomology theory showing that equivariant fixed point theory is isomorphic to equivariant stable cohomotopy theory. A crucial result is the sum decomposition of the equivariant fixed point index which provides an insight into the structure of the theory's coefficient group. Among the consequences of the sum formula are some Borsuk-Ulam theorems as well as some folklore results on compact Lie-groups. The final section investigates the fixed point index in equivariant K-theory. The book is intended to be a thorough and comprehensive presentation of its subject. The reader should be familiar with the basics of the theory of compact transformation groups. Good knowledge of algebraic topology - both homotopy and homology theory - is assumed. For the advanced reader, the book may serve as a base for further research. The student will be introduced into equivariant fixed point theory; he may find it helpful for further orientation.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1966 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fixed Point Theory written by E. Fadell and published by Springer. This book was released on 2006-11-14 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1960 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transformation Groups Poznan 1985 written by Stefan Jackowski and published by Springer. This book was released on 2006-11-14 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differentiable Periodic Maps written by Pierre E. Conner and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research tract contains an exposition of our research on bordism and differentiable periodic maps done in the period 1960-62. The research grew out of the conviction, not ours alone, that the subject of transformation groups is in need of a large infusion of the modern methods of algebraic topology. This conviction we owe at least in part to Armand Borel; in particular Borel has maintained the desirability of methods in transformation groups that use differentiability in a key fashion [9, Introduction], and that is what we try to supply here. We do not try to relate our work to Smith theory, the homological study of periodic maps due to such a large extent to P. A. Smith; for a modern development of that subject which expands it greatly see the Borel Seminar notes [9]. It appears to us that our work is independent of Smith theory, but in part inspired by it. We owe a particular debt to G. D. Mostow, who pointed out to us some time ago that it followed from Smith theory that an involution on a compact manifold, or a map of prime period [italic lowercase]p on a compact orientable manifold, could not have precisely one fixed point. It was this fact that led us to believe it worthwhile to apply cobordism to periodic maps.
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 Notes on Cobordism Theory written by Robert E. Stong and published by Princeton University Press. This book was released on 2015-12-08 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes contain the first complete treatment of cobordism, a topic that has become increasingly important in the past ten years. The subject is fully developed and the latest theories are treated. Originally published in 1968. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Download or read book Topological Methods for Variational Problems with Symmetries written by Thomas Bartsch and published by Springer. This book was released on 2006-11-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation; when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows; and when one is looking for "special" solutions of these problems. This book is concerned with Lusternik-Schnirelmann theory and Morse-Conley theory for group invariant functionals. These topological methods are developed in detail with new calculations of the equivariant Lusternik-Schnirelmann category and versions of the Borsuk-Ulam theorem for very general classes of symmetry groups. The Morse-Conley theory is applied to bifurcation problems, in particular to the bifurcation of steady states and hetero-clinic orbits of O(3)-symmetric flows; and to the existence of periodic solutions nearequilibria of symmetric Hamiltonian systems. Some familiarity with the usualminimax theory and basic algebraic topology is assumed.
Download or read book Variational Methods written by Michael Struwe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilberts talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateaus problem by Douglas and Rad. This third edition gives a concise introduction to variational methods and presents an overview of areas of current research in the field, plus a survey on new developments.
Download or read book Transactions of the American Mathematical Society written by and published by . This book was released on 1976 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic and Geometric Combinatorics written by Christos A. Athanasiadis and published by American Mathematical Soc.. This book was released on 2006 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains original research and survey articles stemming from the Euroconference ``Algebraic and Geometric Combinatorics''. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.
Download or read book Geometric Topology written by James C. Cantrell and published by Elsevier. This book was released on 2014-05-10 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977. The book is comprised of contributions from leading experts in the field of geometric topology.These contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory and infinite dimensional topology, and miscellaneous problems. Subjects discussed under these sections include local spanning missing loops, the structure of generalized manifolds having nonmanifold set of trivial dimension, universal open principal fibrations, and how to build a flexible polyhedral surface. Topologists, geometers, and mathematicians will find the book very interesting and insightful.
Download or read book Air Force Research Resum s written by and published by . This book was released on with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book U S Government Research Reports written by and published by . This book was released on 1961 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:
