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The Symplectic Cobordism Ring I
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Book Synopsis The Symplectic Cobordism Ring. I by : Stanley O. Kochman
Download or read book The Symplectic Cobordism Ring. I written by Stanley O. Kochman and published by American Mathematical Soc.. This book was released on 1980 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is the first of three which will investigate the ring of cobordism classes of closed smooth manifolds with a symplectic structure on their stable normal bundle. The method of computation is the Adams spectral sequence. In this paper, [italic]E2 us computed as an algebra by the May spectral sequence. The [italic]d2 differentials in the Adams spectral sequence are then found by Landweber-Novikov and matric Massey product methods. Algebra generators of [italic]E3 are then determined.
Book Synopsis The Symplectic Cobordism Ring II by : Stanley O. Kochman
Download or read book The Symplectic Cobordism Ring II written by Stanley O. Kochman and published by American Mathematical Soc.. This book was released on 1982 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is the second of three which investigate the ring of cobordism classes of closed smooth manifolds with a symplectic structure on their stable normal bundle. The method of computation is the Adams spectral sequence. In this paper the d3-differentials are computed by Landweber-Novikov and Massey product methods. In addition cup-one products are introduced in the theory of bordism chains, and a complex is constructed to represent an Adams spectral sequence.
Book Synopsis Symplectic Cobordism and the Computation of Stable Stems by : Stanley O. Kochman
Download or read book Symplectic Cobordism and the Computation of Stable Stems written by Stanley O. Kochman and published by American Mathematical Soc.. This book was released on 1993 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1994-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1994-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Cobordism and Stable Homotopy Groups of Spheres by : Douglas C. Ravenel
Download or read book Complex Cobordism and Stable Homotopy Groups of Spheres written by Douglas C. Ravenel and published by American Mathematical Society. This book was released on 2023-02-09 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1995-09 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Topology. Waterloo 1978 by : P. Hoffman
Download or read book Algebraic Topology. Waterloo 1978 written by P. Hoffman and published by Springer. This book was released on 2006-11-15 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bordism, Stable Homotopy and Adams Spectral Sequences by : Stanley O. Kochman
Download or read book Bordism, Stable Homotopy and Adams Spectral Sequences written by Stanley O. Kochman and published by American Mathematical Soc.. This book was released on 1996 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of lecture notes that were prepared for the graduate course ``Adams Spectral Sequences and Stable Homotopy Theory'' given at The Fields Institute during the fall of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebraic topology to study recent developments in stable homotopy theory, such as the nilpotence and periodicity theorems. Suitable as a text for an intermediate course in algebraic topology, this book provides a direct exposition of the basic concepts of bordism, characteristic classes, Adams spectral sequences, Brown-Peterson spectra and the computation of stable stems. The key ideas are presented in complete detail without becoming encyclopedic. The approach to characteristic classes and some of the methods for computing stable stems have not been published previously. All results are proved in complete detail. Only elementary facts from algebraic topology and homological algebra are assumed. Each chapter concludes with a guide for further study.
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1995-09 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology I written by S.P. Novikov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of research.
Book Synopsis Manifolds with Singularities and the Adams-Novikov Spectral Sequence by : Boris I. Botvinnik
Download or read book Manifolds with Singularities and the Adams-Novikov Spectral Sequence written by Boris I. Botvinnik and published by Cambridge University Press. This book was released on 1992-07-23 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be of great interest to researchers into algebraic topology.
Book Synopsis Algebraic Topology: Oaxtepec 1991 by : Martin C. Tangora
Download or read book Algebraic Topology: Oaxtepec 1991 written by Martin C. Tangora and published by American Mathematical Soc.. This book was released on 1993 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as K theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1994-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Manifolds and $K$-Theory by : Gregory Arone
Download or read book Manifolds and $K$-Theory written by Gregory Arone and published by American Mathematical Soc.. This book was released on 2017-01-24 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Manifolds, -Theory, and Related Topics, held from June 23–27, 2014, in Dubrovnik, Croatia. The articles contained in this volume are a collection of research papers featuring recent advances in homotopy theory, -theory, and their applications to manifolds. Topics covered include homotopy and manifold calculus, structured spectra, and their applications to group theory and the geometry of manifolds. This volume is a tribute to the influence of Tom Goodwillie in these fields.
Book Synopsis Homotopy Theory: An Introduction to Algebraic Topology by :
Download or read book Homotopy Theory: An Introduction to Algebraic Topology written by and published by Academic Press. This book was released on 1975-11-12 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homotopy Theory: An Introduction to Algebraic Topology
Book Synopsis Stable Homotopy Groups of Spheres by : Stanley O. Kochman
Download or read book Stable Homotopy Groups of Spheres written by Stanley O. Kochman and published by Springer. This book was released on 2006-11-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres +*S. In this book, a new method for this is developed based upon the analysis of the Atiyah-Hirzebruch spectral sequence. After the tools for this analysis are developed, these methods are applied to compute inductively the first 64 stable stems, a substantial improvement over the previously known 45. Much of this computation is algorithmic and is done by computer. As an application, an element of degree 62 of Kervaire invariant one is shown to have order two. This book will be useful to algebraic topologists and graduate students with a knowledge of basic homotopy theory and Brown-Peterson homology; for its methods, as a reference on the structure of the first 64 stable stems and for the tables depicting the behavior of the Atiyah-Hirzebruch and classical Adams spectral sequences through degree 64.
