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Home > Art, Film & Photography > Surgery Theory: Cobordism, Exotic Sphere, Surgery Exact Sequence, Arf Invariant, Normal Invariant, Farrell-Jones Conjecture, Whitehead Torsion
Surgery Theory: Cobordism, Exotic Sphere, Surgery Exact Sequence, Arf Invariant, Normal Invariant, Farrell-Jones Conjecture, Whitehead Torsion

Surgery Theory: Cobordism, Exotic Sphere, Surgery Exact Sequence, Arf Invariant, Normal Invariant, Farrell-Jones Conjecture, Whitehead Torsion


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 35. Chapters: Cobordism, Exotic sphere, Surgery exact sequence, Arf invariant, Normal invariant, Farrell-Jones conjecture, Whitehead torsion, Kervaire invariant, Rokhlin's theorem, Baum-Connes conjecture, Analytic torsion, -quadratic form, Stable normal bundle, L-theory, H-cobordism, Surgery obstruction, Assembly map, Surgery structure set, Dehn surgery, Handlebody, Hauptvermutung, Novikov conjecture, Borel conjecture, Obstruction theory, De Rham invariant, Kirby-Siebenmann class. Excerpt: In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold. Two manifolds are cobordant if their disjoint union is the boundary of a manifold one dimension higher. The name comes from the French word for boundary. The boundary of an -dimensional manifold is an -dimensional manifold that is closed, i.e., with empty boundary. In general, a closed manifold need not be a boundary: cobordism theory is the study of the difference between closed manifolds and those that are boundaries. The theory was originally developed for smooth (i.e., differentiable) manifolds, but there are now also versions for piecewise-linear and topological manifolds. A cobordism is a manifold with boundary whose boundary is partitioned in two, . Cobordisms are studied both for the equivalence relation that they generate, and as objects in their own right. Cobordism is a much coarser equivalence relation than diffeomorphism or homeomorphism of manifolds, and is significantly easier to study and compute. It is not possible to classify manifolds up to diffeomorphism or homeomorphism in dimensions - because the word problem for groups cannot be solved - but it is possible to classify manifolds up to cobordism. Cobordisms are central objects of study in geometric ...


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Product Details
  • ISBN-13: 9781155587875
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Weight: 82 gr
  • ISBN-10: 1155587871
  • Publisher Date: 17 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Cobordism, Exotic Sphere, Surgery Exact Sequence, Arf Invariant, Normal Invariant, Farrell-Jones Conjecture, Whitehead Torsion
  • Width: 189 mm


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