Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134): Louis H. Kauffman, Sostenes Lins

Princeton University Press | ISBN: 0691036403 | July 5, 1994 | djvu (ocr) | 312 pages | 3.52 MB

From the introduction: This monograph develops, in a self-contained manner, a recoupling theory for colored knots and links…

Dale Husemöller, Michael Joachim, Branislav Jurco, Martin Schottenloher, "Basic Bundle Theory and K-Cohomology Invariants"

Springer | 2008-01 | ISBN: 3540749551 | 340 pages | PDF | 2,2 MB

Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide…

Invariants of Homology 3-Spheres

Publisher: Springer | Pages: 223 | 2002-10-28 | ISBN 3540437967 | DJVU | 2 MB

Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an outstanding role in geometric topology for the…

John D. Moore, “Lectures on Seiberg-Witten Invariants”

Springer | 2001-05-18 | ISBN: 3540412212 | 121 pages | PDF | 4,45 MB

This book gives a streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological…

Tomotada Ohtsuki "Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets"

World Scientific Publishing Company | 2001-12 | ISBN: 9810246757 | 508 pages | PDF | 16,7 MB

An extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones…

Topological Invariants of Stratified Spaces

Springer | 2007-01 | ISBN: 3540385851 | 270 Pages | 1.23 MB | PDF

The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. After carefully…

The Classical Groups: Their Invariants and Representations

Princeton Univ Pr | ISBN 0691079234 | 1946-09 | PDF | 336 pages | 8.61 MB

In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines…

Chronometric Invariants

American Research Press; 1 edition | December 6, 2006 | ISBN-10: 1599730111 | 234 pages | PDF | 2.8 Mb

This book was written in 1944 by Abraham Zelmanov, a prominent scientist working in General relativity and cosmology. Herein he constructs the theory of physical observable quantities in General Relativity…

Helmut Hofer, Eduard Zehnder, "Symplectic Invariants and Hamiltonian Dynamics"

Sp,.,er B.sel | 2011 | ISBN: 3034801033 | 355 pages | PDF | 3,3 MB

The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic…

Procesi C., "Lie Groups: An Approach through Invariants and Representations"

Springer; 1 edition (October 12, 2006) | ISBN-10: 0387260404 | 608 pages | PDF | 25 Mb

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's masterful approach to Lie groups…