Surveys on Surgery Theory, Volume 2 (eBook)

Papers Dedicated to C.T.C. Wall. (AM-149)

Sylvain Cappell, Andrew Ranicki, Jonathan Rosenberg (Herausgeber)

eBook Download: PDF

2014
380 Seiten
Princeton University Press (Verlag)
978-1-4008-6521-5 (ISBN)

Infos

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.

Autor

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.

Produkt-Details

• Erscheint lt. Verlag: 8.9.2014
• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Technik
• Schlagworte: algebraic topology • Algebraic topology (object) • Ambient isotopy • assembly map • Atiyah–Hirzebruch spectral sequence • Atiyah–Singer index theorem • automorphism • Banach Algebra • Borsuk–Ulam theorem • Calculation • C*-algebra • Category of manifolds • Characterization (mathematics) • Chern class • Cobordism • Codimension • cohomology • Compactification (mathematics) • conjecture • Contact Geometry • CW complex • 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 • Handlebody • Handle decomposition • h-cobordism • Homeomorphism • Homeomorphism group • Homology (mathematics) • Homomorphism • Homotopy • Homotopy extension property • Homotopy fiber • Homotopy group • hypersurface • Intersection form (4-manifold) • Intersection Homology • isomorphism class • K3 surface • Limit (category theory) • L-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 • Riemannian Geometry • Riemannian manifold • Riemann surface • ring homomorphism • scalar curvature • Semisimple algebra • Sheaf (mathematics) • Sign (mathematics) • Special case • SUBGROUP • submanifold • Subquotient • 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
• ISBN-10: 1-4008-6521-2 / 1400865212
• ISBN-13: 978-1-4008-6521-5 / 9781400865215