Welcome to our book review site go-pdf.online!
You may have to Search all our reviewed books and magazines, click the sign up button below to create a free account.
A Topological Chern-Weil Theory
This work develops a topological analogue of the classical Chern-Weil theory as a method for computing the characteristic classes of principal bundles whose structural group is not necessarily a Lie group, but only a cohomologically finite topological group. Substitutes for the tools of differential geometry, such as the connection and curvature forms, are taken from algebraic topology, using work of Adams, Brown, Eilenberg-Moore, Milgram, Milnor and Stasheff. The result is a synthesis of the algebraic-topological and differential-geometric approaches to characteristic classes. In contrast to the first approach, specific cocycles are used, so as to highlight the influence of local geometry on global topology. In contrast to the second, calculations are carried out at the small scale rather than the infinitesimal; in fact, this work may be viewed as a systematic extension of the observation that curvature is the infinitesimal form of the defect in parallel translation around a rectangle. This book could be used as a text for an advanced graduate course in algebraic topology.
Topological Chern-Weil Theory
This work develops a topological analogue of the classical Chern-Weil theory as a method for computing the characteristic classes of principal bundles whose structural group is not necessarily a Lie group, but only a cohomologically finite topological group. Substitutes for the tools of differential geometry, such as the connection and curvature forms, are taken from algebraic topology, using work of Adams, Brown, Eilenberg-Moore, Milgram, Milnor and Stasheff. The result is a synthesis of the algebraic-topological and differential-geometric approaches to characteristic classes. In contrast to the first approach, specific cocycles are used, so as to highlight the influence of local geometry on global topology. In contrast to the second, calculations are carried out at the small scale rather than the infinitesimal; in fact, this work may be viewed as a systematic extension of the observation that curvature is the infinitesimal form of the defect in parallel translation around a rectangle. This book could be used as a text for an advanced graduate course in algebraic topology.
Notices of the American Mathematical Society
Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Seneca Falls and the Origins of the Women's Rights Movement
In a quiet town of Seneca Falls, New York, over the course of two days in July, 1848, a small group of women and men, led by Elizabeth Cady Stanton and Lucretia Mott, held a convention that would launch the woman's rights movement and change the course of history. The implications of that remarkable convention would be felt around the world and indeed are still being felt today. In Seneca Falls and the Origins of the Woman's Rights Movement, the latest contribution to Oxford's acclaimed Pivotal Moments in American History series, Sally McMillen unpacks, for the first time, the full significance of that revolutionary convention and the enormous changes it produced. The book covers 50 years of...
