Category:Surgery
(→Plans for pages on MAP) |
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I) List of prerequisites: | I) List of prerequisites: | ||
| − | [[Quadratic forms for surgery]], [[Bordism]], [[ | + | [[Quadratic forms for surgery]], [[Bordism]], [[Transversality]], [[Characteristic classes]], [[Homotopy and Homology]], [[Immersions and Embeddings]], [[Signature theorem]], [[h-cobordism theorem]], [[Whitehead torsion]], [[Generalised Poincaré conjecture]] |
| − | II) Main | + | II) Main articles: |
| − | [[Structure set]], [[ | + | [[Structure set]], [[Surgery classification of manifolds]], [[Poincaré complexes]], [[Surgery exact sequence]], [[Normal maps]], [[Surgery obstruction groups]], [[L-Theory]], [[Tables of computations of L-groups]], [[Assembly maps]]. |
III) Fields of application: | III) Fields of application: | ||
| − | [[Classification of high-dimensional manifolds]], [[Farrell-Jones Conjecture]], [[Borel-Conjecture]], [[Novikov-Conjecture]], [[ | + | [[Classification of high-dimensional manifolds]], [[Farrell-Jones Conjecture]], [[Borel-Conjecture]], [[Novikov-Conjecture]], [[Operator algebras]], [[Group actions]], [[Stratified sets]], [[Scalar curvature]], [[Automorphisms of manifolds]]. |
Revision as of 12:44, 6 August 2010
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".
Please email Andrew if you wish to contribute to one of the projected articles, or if you have a suggestion for an article on a particular topic, or with any other suggestion of matter to be included.
Plans for pages on MAP
I) List of prerequisites: Quadratic forms for surgery, Bordism, Transversality, Characteristic classes, Homotopy and Homology, Immersions and Embeddings, Signature theorem, h-cobordism theorem, Whitehead torsion, Generalised Poincaré conjecture
II) Main articles: Structure set, Surgery classification of manifolds, Poincaré complexes, Surgery exact sequence, Normal maps, Surgery obstruction groups, L-Theory, Tables of computations of L-groups, Assembly maps.
III) Fields of application: Classification of high-dimensional manifolds, Farrell-Jones Conjecture, Borel-Conjecture, Novikov-Conjecture, Operator algebras, Group actions, Stratified sets, Scalar curvature, Automorphisms of manifolds.
Pages in category "Surgery"
The following 8 pages are in this category, out of 8 total.
