Category:Surgery
(→Plans for pages on MAP) |
m (→Suggestions for pages on MAP) |
||
(14 intermediate revisions by 2 users not shown) | |||
Line 1: | Line 1: | ||
This Category contains pages about surgery theory and the surgery classification of manifolds: it is the "home page" of the "surgery project". | This Category contains pages about surgery theory and the surgery classification of manifolds: it is the "home page" of the "surgery project". | ||
− | [[User:Ranicki|Andrew Ranicki]] is the organiser of the "surgery project". | + | [[User:Ranicki|Andrew Ranicki]] is the organiser of the "surgery project". |
− | == | + | Please [http://www.manifoldatlas.him.uni-bonn.de/index.php/Special:EmailUser/Ranicki 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. |
+ | |||
+ | == Suggestions for pages on MAP == | ||
+ | |||
+ | There are already many [[Surgery resources#Wikipedia pages|Wikipedia pages on surgery]]: MAP aims for more [[Manifold_Atlas:Writing_style#Linking_to_Wikipedia_and_other_web_resources|in-depth pages]]. | ||
I) List of prerequisites: | I) List of prerequisites: | ||
− | [[Quadratic forms]], [[ | + | [[Quadratic forms for surgery]], [[Bordism]], [[Transversality]], [[Characteristic classes]], [[Homotopy and Homology]], [[Immersions]], [[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]], [[Spivak normal fibration]], [[Surgery exact sequence]], [[Normal maps]], [[Surgery obstruction groups]], [[L-Theory]], [[Tables of computations of L-groups]], [[Assembly maps]], [[Bounded and controlled topology]]. |
III) Fields of application: | III) Fields of application: | ||
− | [[Classification of high-dimensional manifolds]], [[Farrell-Jones Conjecture]], [[Borel-Conjecture]], [[Novikov | + | [[Classification of high-dimensional manifolds]], [[Topological manifolds]], [[Farrell-Jones Conjecture]], [[Borel-Conjecture]], [[Novikov Conjecture]], [[Operator algebras]], [[Group actions]], [[Stratified sets]], [[Scalar curvature]], [[Automorphisms of manifolds]], [[Fake tori]]. |
− | |||
<!-- [[Wikipedia articles]] | <!-- [[Wikipedia articles]] |
Latest revision as of 16:52, 9 February 2012
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.
Suggestions for pages on MAP
There are already many Wikipedia pages on surgery: MAP aims for more in-depth pages.
I) List of prerequisites: Quadratic forms for surgery, Bordism, Transversality, Characteristic classes, Homotopy and Homology, Immersions, Embeddings, Signature theorem, h-cobordism theorem, Whitehead torsion, Generalised Poincaré conjecture
II) Main articles: Structure set, Surgery classification of manifolds, Poincaré complexes, Spivak normal fibration, Surgery exact sequence, Normal maps, Surgery obstruction groups, L-Theory, Tables of computations of L-groups, Assembly maps, Bounded and controlled topology.
III) Fields of application: Classification of high-dimensional manifolds, Topological manifolds, Farrell-Jones Conjecture, Borel-Conjecture, Novikov Conjecture, Operator algebras, Group actions, Stratified sets, Scalar curvature, Automorphisms of manifolds, Fake tori.
Pages in category "Surgery"
The following 8 pages are in this category, out of 8 total.