Vai al contenuto principale della pagina

Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg



(Visualizza in formato marc)    (Visualizza in BIBFRAME)

Titolo: Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg Visualizza cluster
Pubblicazione: Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001
©2001
Descrizione fisica: 1 online resource (446 p.)
Disciplina: 514.72
Soggetto topico: Surgery (Topology)
Soggetto non controllato: Algebraic topology (object)
Algebraic topology
Ambient isotopy
Assembly map
Atiyah–Hirzebruch spectral sequence
Atiyah–Singer index theorem
Automorphism
Banach algebra
Borsuk–Ulam theorem
C*-algebra
CW complex
Calculation
Category of manifolds
Characterization (mathematics)
Chern class
Cobordism
Codimension
Cohomology
Compactification (mathematics)
Conjecture
Contact geometry
Degeneracy (mathematics)
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential geometry
Dirac operator
Disk (mathematics)
Donaldson theory
Duality (mathematics)
Embedding
Epimorphism
Excision theorem
Exponential map (Riemannian geometry)
Fiber bundle
Fibration
Fundamental group
Group action
Group homomorphism
H-cobordism
Handle decomposition
Handlebody
Homeomorphism group
Homeomorphism
Homology (mathematics)
Homomorphism
Homotopy extension property
Homotopy fiber
Homotopy group
Homotopy
Hypersurface
Intersection form (4-manifold)
Intersection homology
Isomorphism class
K3 surface
L-theory
Limit (category theory)
Manifold
Mapping cone (homological algebra)
Mapping cylinder
Mostow rigidity theorem
Orthonormal basis
Parallelizable manifold
Poincaré conjecture
Product metric
Projection (linear algebra)
Pushout (category theory)
Quaternionic projective space
Quotient space (topology)
Resolution of singularities
Ricci curvature
Riemann surface
Riemannian geometry
Riemannian manifold
Ring homomorphism
Scalar curvature
Semisimple algebra
Sheaf (mathematics)
Sign (mathematics)
Special case
Sub"ient
Subgroup
Submanifold
Support (mathematics)
Surgery exact sequence
Surgery obstruction
Surgery theory
Symplectic geometry
Symplectic vector space
Theorem
Topological conjugacy
Topological manifold
Topology
Transversality (mathematics)
Transversality theorem
Vector bundle
Waldhausen category
Whitehead torsion
Whitney embedding theorem
Yamabe invariant
Classificazione: SI 830
Persona (resp. second.): CappellSylvain
RanickiAndrew
RosenbergJonathan
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank
Sommario/riassunto: 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.
Titolo autorizzato: Surveys on surgery theory  Visualizza cluster
ISBN: 0-691-08814-4
1-4008-6521-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910811911303321
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Serie: Annals of mathematics studies ; ; Number 149.