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This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.
For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.
In the bustling cities of the mid-nineteenth-century Northeast, young male clerks working in commercial offices and stores were on the make, persistently seeking wealth, respect, and self-gratification. Yet these strivers and "counter jumpers" discovered that claiming the identities of independent men—while making sense of a volatile capitalist economy and fluid urban society—was fraught with uncertainty. In On the Make, Brian P. Luskey illuminates at once the power of the ideology of self-making and the important contests over the meanings of respectability, manhood, and citizenship that helped to determine who clerks were and who they would become. Drawing from a rich array of archival materials, including clerks’ diaries, newspapers, credit reports, census data, advice literature, and fiction, Luskey argues that a better understanding of clerks and clerking helps make sense of the culture of capitalism and the society it shaped in this pivotal era.
This book consists of reviewed original research papers and expository articles in index theory (especially on singular manifolds), topology of manifolds, operator and equivariant K-theory, Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others, and applications in mathematical physics. The wide spectrum of subjects reflects the diverse directions of research for which the starting point was the Atiyah-Singer index theorem.
For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.
The articles in these two volumes arose from papers given at the 1991 International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area. This first volume contains contributions from many of the world's leading figures in this field, and their contributions demonstrate the many interesting facets of geometrical group theory. For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.
An extended tour through a selection of the most important trends in modern geometric group theory.
For anyone whose interest lies in the interplay between groups and geometry, these books should be of interest.