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Author : Amir H. Assadi
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (591 download)
Download or read book Finite Group Actions on Simply-connected Manifolds and CQ Complexes written by Amir H. Assadi and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Amir H. Assadi
Publisher : American Mathematical Soc.
ISBN 13 : 0821822578
Total Pages : 129 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite Group Actions on Simply-Connected Manifolds and CW Complexes written by Amir H. Assadi and published by American Mathematical Soc.. This book was released on 1982 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem that we are concerned with is the existence and construction of embeddings of a given G-CW complex (G-manifold) in another G-CW complex (G-manifold) having a prescribed homotopy type and a prescribed family of isotropy subgroups.
Author : Amir H. Assadi
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (859 download)
Download or read book Finite Group Actions on Simply-connected Manifolds and Cw Complexs written by Amir H. Assadi and published by . This book was released on 1982 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Reinhard Schultz
Publisher : American Mathematical Soc.
ISBN 13 : 0821850385
Total Pages : 586 pages
Book Rating : 4.8/5 (218 download)
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.
Author : Adalbert Kerber
Publisher : Springer Science & Business Media
ISBN 13 : 9783540659419
Total Pages : 488 pages
Book Rating : 4.6/5 (594 download)
Download or read book Applied Finite Group Actions written by Adalbert Kerber and published by Springer Science & Business Media. This book was released on 1999-08-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the top experts in the fields of combinatorics and representation theory, this book distinguishes itself from the existing literature by its applications-oriented point of view. The second edition is extended, placing more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described.
Author : James F. Davis
Publisher : American Mathematical Society
ISBN 13 : 1470473682
Total Pages : 385 pages
Book Rating : 4.4/5 (74 download)
Download or read book Lecture Notes in Algebraic Topology written by James F. Davis and published by American Mathematical Society. This book was released on 2023-05-22 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems. To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated. Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book. The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic $K$-theory and the s-cobordism theorem. A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the “big picture”, teaches them how to give mathematical lectures, and prepares them for participating in research seminars. The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.
Author : J. P. May
Publisher : University of Chicago Press
ISBN 13 : 9780226511832
Total Pages : 262 pages
Book Rating : 4.5/5 (118 download)
Download or read book A Concise Course in Algebraic Topology written by J. P. May and published by University of Chicago Press. This book was released on 1999-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
Author : Mihail Tanase
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (769 download)
Download or read book Smooth Finite Cyclic Group Actions on Positive Definite Four-manifolds written by Mihail Tanase and published by . This book was released on 2002 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smooth actions of odd order cyclic groups on closed positive definite simply connected 4-manifolds are considered. For such an action, by studying its associated instant on one Yang-Mills equivariant moduli space, it is proved that the fixed point pattern of the singular set and the isotropy representations are the same as those of an equivariant connected sum of complex projective spaces acted linearly by the same group. Under certain assumptions, questions regarding the number of distinct possible isotropy representations at singular points arising in smooth actions and equivariant connected sums of algebraic actions on 4-dimensional complex projective spaces are answered.
Author : William Browder
Publisher : Springer Science & Business Media
ISBN 13 : 364250020X
Total Pages : 141 pages
Book Rating : 4.6/5 (425 download)
Download or read book Surgery on Simply-Connected Manifolds written by William Browder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces.
Author : Dennis Richard McGavran
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (18 download)
Download or read book T3-actions on Simply Connected 6-manifolds written by Dennis Richard McGavran and published by . This book was released on 1974 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Bonner
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (897 download)
Download or read book Free Actions on a Simply Connected 5-manifold written by D. Bonner and published by . This book was released on 1990 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Ranicki
Publisher : Cambridge University Press
ISBN 13 : 9780521420242
Total Pages : 372 pages
Book Rating : 4.4/5 (22 download)
Download or read book Algebraic L-theory and Topological Manifolds written by Andrew Ranicki and published by Cambridge University Press. This book was released on 1992-12-10 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds, in a unified algebraic framework.
Author : Jörg Winkelmann
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (115 download)
Download or read book Complex Analytic Geometry of Complex Parallelizable Manifolds written by Jörg Winkelmann and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shicheng Wang
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (897 download)
Download or read book 3-Manifolds which Admit Finite Group Action written by Shicheng Wang and published by . This book was released on 1991 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth S. Brown
Publisher : Springer Science & Business Media
ISBN 13 : 1468493272
Total Pages : 318 pages
Book Rating : 4.4/5 (684 download)
Download or read book Cohomology of Groups written by Kenneth S. Brown and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at second year graduate students, this text introduces them to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology, and the basics of the subject, as well as exercises, are given prior to discussion of more specialized topics.
Author : Geoffrey Mason
Publisher : Springer
ISBN 13 : 3319099345
Total Pages : 274 pages
Book Rating : 4.3/5 (19 download)
Download or read book Developments and Retrospectives in Lie Theory written by Geoffrey Mason and published by Springer. This book was released on 2014-11-12 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. These Lie theory workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. The contributors have all participated in these Lie theory workshops and include in this volume expository articles which will cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.
Author : D.B. Fuchs
Publisher : Springer Science & Business Media
ISBN 13 : 9783540519966
Total Pages : 276 pages
Book Rating : 4.5/5 (199 download)
Download or read book Topology II written by D.B. Fuchs and published by Springer Science & Business Media. This book was released on 2003-10-27 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.
