Questions about surgery theory

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(Simply connected odd-dimensional L-groups)
(Simply connected surgery obstruction groups)
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How does one prove that
How does one prove that
$L_{4j}(e)=Z$, $L_{4j+2}(e)=Z_2$, $L_{2k+1}(e) = 0$ ?
+
$L_{4j}(e)=\Zz$, $L_{4j+2}(e)=\Zz_2$, $L_{2k+1}(e) = 0$ ?
Read {{cite|Kervaire&Milnor1963}} and/or {{cite|Browder1972}} and/or {{cite|Ranicki2002|Chapter 12}}.
Read {{cite|Kervaire&Milnor1963}} and/or {{cite|Browder1972}} and/or {{cite|Ranicki2002|Chapter 12}}.

Revision as of 13:25, 13 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 Questions for questions which attract longer answers.

Contents

1 Questions

1.1 How can you tell if a space is homotopy equivalent to a manifold?

This is in fact a Mathoverflow question.

1.2 Simply connected surgery obstruction groups

How does one prove that L_{4j}(e)=\Zz, L_{4j+2}(e)=\Zz_2, L_{2k+1}(e) = 0 ?

Read [Kervaire&Milnor1963] and/or [Browder1972] and/or [Ranicki2002, Chapter 12].

2 References

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