invariants of homology 3 spheres encyclopaedia of mathematical sciences

Download Book Invariants Of Homology 3 Spheres Encyclopaedia Of Mathematical Sciences in PDF format. You can Read Online Invariants Of Homology 3 Spheres Encyclopaedia Of Mathematical Sciences here in PDF, EPUB, Mobi or Docx formats.

Invariants Of Homology 3 Spheres

Author : Nikolai Saveliev
ISBN : 9783662047057
Genre : Mathematics
File Size : 69. 81 MB
Format : PDF, ePub, Docs
Download : 719
Read : 477

Get This Book


The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. The text will be a valuable source for both the graduate student and researcher in mathematics and theoretical physics.

The Wild World Of 4 Manifolds

Author : Alexandru Scorpan
ISBN : 9780821837498
Genre : Mathematics
File Size : 44. 57 MB
Format : PDF, Mobi
Download : 979
Read : 973

Get This Book


What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. -- Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.

Mathematical Reviews

Author :
ISBN : UVA:X006195258
Genre : Mathematics
File Size : 88. 78 MB
Format : PDF, Docs
Download : 757
Read : 295

Get This Book



Seifert Fiberings

Author : Kyung Bai Lee
ISBN : 9780821852316
Genre : Mathematics
File Size : 88. 85 MB
Format : PDF, Kindle
Download : 852
Read : 1017

Get This Book


Seifert fiberings extend the notion of fiber bundle mappings by allowing some of the fibers to be singular. Away from the singular fibers, the fibering is an ordinary bundle with fiber a fixed homogeneous space. The singular fibers are quotients of this homogeneous space by distinguished groups of homeomorphisms. These fiberings are ubiquitous and important in mathematics. This book describes in a unified way their structure, how they arise, and how they are classified and used in applications. Manifolds possessing such fiber structures are discussed and range from the classical three-dimensional Seifert manifolds to higher dimensional analogues encompassing, for example, flat manifolds, infra-nil-manifolds, space forms, and their moduli spaces. The necessary tools not covered in basic graduate courses are treated in considerable detail. These include transformation groups, cohomology of groups, and needed Lie theory. Inclusion of the Bieberbach theorems, existence, uniqueness, and rigidity of Seifert fiberings, aspherical manifolds, symmetric spaces, toral rank of spherical space forms, equivariant cohomology, polynomial structures on solv-manifolds, fixed point theory, and other examples, exercises and applications attest to the breadth of these fiberings. This is the first time the scattered literature on singular fiberings is brought together in a unified approach. The new methods and tools employed should be valuable to researchers and students interested in geometry and topology.

Encyclopaedia Of Mathematics

Author : Michiel Hazewinkel
ISBN : 9789401512794
Genre : Mathematics
File Size : 66. 65 MB
Format : PDF
Download : 712
Read : 446

Get This Book


This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Algebraic And Geometric Topology

Author :
ISBN : UCSD:31822036924736
Genre : Algebraic topology
File Size : 44. 66 MB
Format : PDF, Kindle
Download : 717
Read : 822

Get This Book



Newsletter

Author : New Zealand Mathematical Society
ISBN : UOM:39015057376611
Genre : Mathematics
File Size : 83. 16 MB
Format : PDF, ePub, Docs
Download : 285
Read : 1027

Get This Book



Advances In Theoretical And Mathematical Physics

Author :
ISBN : UOM:39015068688079
Genre : Mathematical physics
File Size : 80. 94 MB
Format : PDF, Docs
Download : 449
Read : 666

Get This Book



Surfaces In 4 Space

Author : Scott Carter
ISBN : 9783662101629
Genre : Mathematics
File Size : 53. 8 MB
Format : PDF, ePub
Download : 388
Read : 1321

Get This Book


Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case. As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics.

Pamq

Author :
ISBN : UOM:39015072629531
Genre : Mathematics
File Size : 77. 27 MB
Format : PDF, Kindle
Download : 489
Read : 746

Get This Book



Top Download:

Best Books