Questions about surgery theory

Revision as of 15:55, 6 August 2010

This page organizes questions and answers about surgery theory.

The natural first port of call for quick answers is [Mathoverflow].

Below is a list of questions, possibly with answers.

The Atlas also has a chapter for questions which attract longer answers.

1 Questions

1.1 Simply connected odd-dimensional L-groups

How does one prove that $This page organizes questions and answers about surgery theory. The natural first port of call for quick answers is [[http://www.mathoverflow.net/search?q=surgery Mathoverflow]]. Below is a list of questions, possibly with answers. The Atlas also has a chapter [[Category:Questions|Questions]] for questions which attract longer answers. == Questions == === Simply connected odd-dimensional L-groups === <wikitex>; How does one prove that $L_{2k+1}(e) = 0$ ? Read {{cite|Kervaire&Milnor1963|Section 6}} and/or {{cite|Browder1972|Iv.3}} and/or {{cite|Ranicki2002|12.6}}. </wikitex> == References == {{#RefList:}} [[Category:Surgery]] [[Category:Questions]]L_{2k+1}(e) = 0$ ?

Read [Kervaire&Milnor1963, Section 6] and/or [Browder1972, Iv.3] and/or [Ranicki2002, 12.6].

2 References

• [Browder1972] W. Browder, Surgery on simply-connected manifolds, Springer-Verlag, New York, 1972. MR0358813 (50 #11272) Zbl 0543.57003
• [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
• [Ranicki2002] A. Ranicki, Algebraic and geometric surgery, The Clarendon Press Oxford University Press, Oxford, 2002. MR2061749 (2005e:57075) Zbl 1003.57001