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Torsions of 3-dimensional Manifolds
Vladimir Turaev
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Description for Torsions of 3-dimensional Manifolds
paperback. Series: Progress in Mathematics. Num Pages: 196 pages, biography. BIC Classification: MB; PBK; PBM. Category: (G) General (US: Trade). Dimension: 235 x 155 x 11. Weight in Grams: 332.
Three-dimensional topology includes two vast domains: the study of geometric structures on 3-manifolds and the study of topological invariants of 3-manifolds, knots, etc. This book belongs to the second domain. We shall study an invariant called the maximal abelian torsion and denoted T. It is defined for a compact smooth (or piecewise-linear) manifold of any dimension and, more generally, for an arbitrary finite CW-complex X. The torsion T(X) is an element of a certain extension of the group ring Z[Hl(X)]. The torsion T can be naturally considered in the framework of simple homotopy theory. In particular, it is invariant under ... Read more
Three-dimensional topology includes two vast domains: the study of geometric structures on 3-manifolds and the study of topological invariants of 3-manifolds, knots, etc. This book belongs to the second domain. We shall study an invariant called the maximal abelian torsion and denoted T. It is defined for a compact smooth (or piecewise-linear) manifold of any dimension and, more generally, for an arbitrary finite CW-complex X. The torsion T(X) is an element of a certain extension of the group ring Z[Hl(X)]. The torsion T can be naturally considered in the framework of simple homotopy theory. In particular, it is invariant under ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Birkhäuser Switzerland
Number of pages
196
Condition
New
Series
Progress in Mathematics
Number of Pages
196
Place of Publication
Basel, Switzerland
ISBN
9783034893985
SKU
V9783034893985
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Torsions of 3-dimensional Manifolds
"This is an excellent exposition about abelian Reidemeister torsions for three-manifolds." —Zentralblatt Math "The present monograph covers in great detail the work of the author spanning almost three decades. …[Establishing an explicit formula given a 3-manifold] is a truly remarkable feat… This monograph contains a wealth of information many topologists will find very handy. …Many of ... Read more