Category:Surgery
This Category contains pages about surgery theory and the surgery classification of manifolds: it is the "home page" of the "surgery project".
Andrew Ranicki is the organiser of the "surgery project".
Contents |
1 Plans for pages on MAP
I) List of prerequisites: Quadratic forms, cobordism, transversality, characteristic classes, homotopy & homology, immersions & embeddings, signature theorem, h-cobordism theorem, Whitehead torsion
II) Main article: Structure set, surgery classification of manifolds, Poincaré complexes, surgery exact sequence, L-theory, normal maps, "updating Wall's book", tables of computations of L-groups, surgery obstructions, assembly maps, surgery theory
III) Fields of application: Classification of high-dimensional manifolds, Farrell-Jones Conjecture, Borel-Conjecture, Novikov-Conjecture, operator algebras, pure algebra (quadratic forms), group actions, stratified sets, scalar curvature (differential geometry), index theorems, automorphisms of manifolds
2 Existing Wikipedia pages
2.1 Pages specific to surgery
- Arf invariant
- Baum-Connes conjecture
- Borel conjecture
- Categories of manifolds
- Characteristic classes
- Classification of manifolds
- Cobordism
- Differential manifold
- Differential structure
- Differential topology
- Embedding
- ε-quadratic form
- Exotic sphere
- Farrell-Jones Conjecture
- Handlebody
- Hauptvermutung
- h-cobordism also s-cobordism
- Hirzebruch signature theorem
- Homotopy Groups of Spheres
- Immersion
- Index theory
- Intersection theory
- Kervaire invariant
- Kirby Siebenmann obstruction
- Lens space
- L-theory
- Manifold
- Morse theory
- Normal bundle
- Novikov conjecture
- Poincare conjecture
- Poincare duality
- Pontrjagin class
- Quadratic form
- Regular homotopy
- Rokhlin's theorem
- Signature (topology)
- Surgery Theory
- Transversality
- Whitehead torsion
- Algebraic K-theory
- Fundamental Group
- Homology and cohomology
- Homotopy
- Homotopy Group
- List of conjectures (not just in surgery theory)
- Reidemeister torsion
Pages in category "Surgery"
The following 8 pages are in this category, out of 8 total.