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The Reidemeister Torsion of 3-Manifolds (De Gruyter Studies in Mathematics)
 
 
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The Reidemeister Torsion of 3-Manifolds (De Gruyter Studies in Mathematics) [Hardcover]

Liviu I. Nicolaescu (Author)

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Book Description

De Gruyter Studies in Mathematics November 2002
This is a state-of-the-art introduction to the work of Franz Reidemeister, Meng Taubes, Turaev, and the author on the concept of torsion and its generalizations. Torsion is the oldest topological (but not with respect to homotopy) invariant that in its almost eight decades of existence has been at the center of many important and surprising discoveries. During the past decade, in the work of Vladimir Turaev, new points of view have emerged, which turned out to be the "right ones" as far as gauge theory is concerned. The book features mostly the new aspects of this venerable concept. The theoretical foundations of this subject are presented in a style accessible to those, who wish to learn and understand the main ideas of the theory. Particular emphasis is upon the many and rather diverse concrete examples and techniques which capture the subleties of the

Editorial Reviews

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"It is very well written, with many examples and also many exercises."EMS Newsletter "This very readable book provides an introduction to the theory of torsion."St. Haller in: Monatshefte f r Mathematik 3/2004

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Inside This Book (learn more)
First Sentence:
The notion of torsion is a multifaceted generalization of the concept of determinant of an isomorphism of vector spaces. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
plumbing graph, algebraic contraction, homology orientation, universal abelian cover, rational homology sphere, surgery coefficients, surgery formula, wall crossing formula, decorated graph, gluing formula, canonical framing, analytic torsion, excision axiom, surgery presentation, canonical spin, acyclic complex, homology spheres, spin structure, solid torus, linking form, lens spaces, mapping torus, solid tori, relative spin, circle bundles
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Using Proposition, Using Theorem
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