Invariants Of Boundary Link Cobordism PDF Download
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Author | : Desmond Sheiham |
Publisher | : American Mathematical Soc. |
Total Pages | : 128 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821833405 |
Download Invariants of Boundary Link Cobordism Book in PDF, ePub and Kindle
An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{
Author | : Desmond Glen Sheiham |
Publisher | : |
Total Pages | : 0 |
Release | : 2001 |
Genre | : |
ISBN | : |
Download Invariants of Boundary Link Cobordism Book in PDF, ePub and Kindle
Author | : Tim D. Cochran |
Publisher | : American Mathematical Soc. |
Total Pages | : 102 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 9780821824894 |
Download Derivatives of Links: Milnor's Concordance Invariants and Massey's Products Book in PDF, ePub and Kindle
We investigate higher-order cohomology operations (Massey products) on complements of links of circles in [italic]S3. These are known to be essentially equivalent to the [lowercase Greek]Mu [with macron]-invariants of John Milnor, which detect whether or not the longitudes of the link lie in the [italic]n[superscript]th term of the lower central series of the fundamental group of the link compliment. We define a geometric "derivative" on the set of all links and use this to define higher-order linking numbers which are shown to be "pieces" of Massey products.
Author | : Washington Mio |
Publisher | : |
Total Pages | : 16 |
Release | : 1986 |
Genre | : |
ISBN | : |
Download On Boundary Link Cobordism Book in PDF, ePub and Kindle
Author | : Peter S. Ozsváth |
Publisher | : American Mathematical Soc. |
Total Pages | : 423 |
Release | : 2015-12-04 |
Genre | : Education |
ISBN | : 1470417375 |
Download Grid Homology for Knots and Links Book in PDF, ePub and Kindle
Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves. Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.
Author | : Jonathan Arthur Hillman |
Publisher | : World Scientific |
Total Pages | : 370 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9814407380 |
Download Algebraic Invariants of Links Book in PDF, ePub and Kindle
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology. This second edition introduces two new chapters twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition. Chapter 2 has been reorganized, and new material has been added to four other chapters.
Author | : Jonathan Hillman |
Publisher | : World Scientific |
Total Pages | : 370 |
Release | : 2012-06-15 |
Genre | : Mathematics |
ISBN | : 9814407402 |
Download Algebraic Invariants Of Links (2nd Edition) Book in PDF, ePub and Kindle
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology.This second edition introduces two new chapters — twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition. Chapter 2 has been reorganized, and new material has been added to four other chapters.
Author | : Lee Klingler |
Publisher | : American Mathematical Soc. |
Total Pages | : 187 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821837389 |
Download Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness Book in PDF, ePub and Kindle
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
Author | : Akio Kawauchi |
Publisher | : Birkhäuser |
Total Pages | : 431 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034892276 |
Download A Survey of Knot Theory Book in PDF, ePub and Kindle
Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.
Author | : Andrew Ranicki |
Publisher | : Cambridge University Press |
Total Pages | : 332 |
Release | : 2006-02-09 |
Genre | : Mathematics |
ISBN | : 9780521681605 |
Download Noncommutative Localization in Algebra and Topology Book in PDF, ePub and Kindle
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.