Exotic spheres

Revision as of 14:16, 21 November 2009

1 Introduction

I should like to start this exotic spheres page by a link to my exotic spheres home page. This already has a large collection of original source material, but some of it would be inappropriate to put on the Manifold Atlas directly.
Andrew Ranicki

2 Construction and examples

[Milnor1956]

3 Invariants

Signature, Kervaire invaiant, $<!-- COMMENT: To achieve a unified layout, along with using the template below, please OBSERVE the following: besides, $...$ and $$...$$, you should use two environments: - For statements like Theorem, Lemma, Definition etc., use e.g. {{beginthm|Theorem 1|(Milnor)}} ... ... ... {{endthm}}. - For references, use e.g. {{cite|Milnor1958b}}. END OF COMMENT --> == Introduction == <wikitex>; I should like to start this exotic spheres page by a [http://www.maths.ed.ac.uk/~aar/exotic.htm link] to my exotic spheres home page. This already has a large collection of original source material, but some of it would be inappropriate to put on the Manifold Atlas directly. <br> Andrew Ranicki </wikitex> == Construction and examples == <wikitex>; {{cite|Milnor1956}} </wikitex> == Invariants == <wikitex>; Signature, Kervaire invaiant </wikitex> == Classification == <wikitex>; {{cite|Kervaire&Milnor1963}}, {{cite|Levine1983}} </wikitex> == Further discussion == <wikitex>; ... is welcome </wikitex> == References == {{#RefList:}} <!-- Please modify these headings or choose other headings according to your needs. --> [[Category:Manifolds]] {{Stub}}\alpha$-invariant

4 Classification

[Kervaire&Milnor1963], [Levine1983]

5 Further discussion

... is welcome

6 References

• [Kervaire&Milnor1963] M. A. Kervaire and J. W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504–537. MR0148075 (26 #5584) Zbl 0115.40505
• [Levine1983] J. P. Levine, Lectures on groups of homotopy spheres, Algebraic and geometric topology (New Brunswick, N.J., 1983), Lecture Notes in Math., 1126 (1983), 62–95. MR802786 (87i:57031) Zbl 0576.57028
• [Milnor1956] J. Milnor, On manifolds homeomorphic to the $7$-sphere, Ann. of Math. (2) 64 (1956), 399–405. MR0082103 (18,498d) Zbl 0072.18402