The user responsible for this page is Ranicki. No other user may edit this page at present.
|
This is a chronological list of important publications in the theory of manifold. The list is not intended to be encyclopedic: please contact the author if you have suggestions.
The term manifold includes
See also:
1 Up to 1900
-
2 1900 - 1930
-
3 1930 - 1960
-
4 1961 - 1970
-
[1];
|-
|1961 || Smale || Generalized Poincaré's conjecture in dimensions greater than four
Proved that every smooth homotopy sphere of dimension 6 or more is homeomorphic to the standard sphere
|-
|1962 || [Browder] || Homotopy type of differentiable manifolds
|-
|1963 || Kervaire Milnor || Groups of homotopy spheres I
Applied surgery theory to the diffeomorphism classification of smooth structures the n-sphere
|-
|1965 || Novikov || Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds I
|-
|1968 || Atiyah Singer || The index of elliptic operators I
|-
|1970 || Wall || Surgery on compact manifolds
|}
5 1971 - 1980
-
6 1981 - 1990
-
7 1991 - 2000
Year
|
Authors
|
Publication and remarks
|
19?? |
... |
...
|
8 2001 - present
-
Year
|
Authors
|
Publication and remarks
|
20?? |
... |
...
|
9 Discussion
- ↑ An interesting fact is that Milnor might well used the manifolds in his 1956 paper [Milnor1956] on $7$-spheres to give examples of non-smoothable PL-manifolds.
11 References