Algebraic topology (object)
Assembly map
Atiyah-Singer index theorem
Automorphism
Borsuk-Ulam theorem
C*-algebra
Category=PBPH
Characterization (mathematics)
Cobordism
Codimension
Conjecture
Contact geometry
CW complex
Degeneracy (mathematics)
Diagram (category theory)
Differentiable manifold
Differential geometry
Dirac operator
Donaldson theory
Duality (mathematics)
Embedding
Epimorphism
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Excision theorem
Exponential map (Riemannian geometry)
Fiber bundle
Fibration
Fundamental group
Group homomorphism
H-cobordism
Handle decomposition
Homeomorphism
Homology (mathematics)
Homotopy
Homotopy extension property
Homotopy fiber
Homotopy group
Hypersurface
Intersection form (4-manifold)
Isomorphism class
L-theory
Limit (category theory)
Mapping cone (homological algebra)
Mapping cylinder
Poincare conjecture
Product metric
Projection (linear algebra)
Pushout (category theory)
Ricci curvature
Riemann surface
Riemannian geometry
Riemannian manifold
Scalar curvature
Sheaf (mathematics)
Sign (mathematics)
Special case
Subgroup
Submanifold
Surgery exact sequence
Surgery obstruction
Surgery theory
Symplectic geometry
Theorem
Topological conjugacy
Topological manifold
Topology
Transversality (mathematics)
Transversality theorem
Vector bundle
Waldhausen category
Whitehead torsion
Whitney embedding theorem
Product details
- ISBN 9780691088150
- Weight: 624g
- Dimensions: 152 x 235mm
- Publication Date: 23 Jan 2001
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M.
Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.
Sylvain Cappell is Professor of Mathematics at New York University and has received Sloan Foundation and Guggenheim awards. Andrew Ranicki is Professor of Algebraic Surgery at the University of Edinburgh. He is the author of several books, including Exact Sequences in the Algebraic Theory of Surgery (Princeton). Jonathan Rosenberg is Professor of Mathematics at the University of Maryland and has authored books on K-theory, topology. Lie group representations, and mathematical software.
