Questions about surgery theory

(Difference between revisions)
Jump to: navigation, search
(Questions)
(Simply connected odd-dimensional L-groups)
Line 12: Line 12:
This is in fact a [http://mathoverflow.net/questions/129/how-can-you-tell-if-a-space-is-homotopy-equivalent-to-a-manifold Mathoverflow question].
This is in fact a [http://mathoverflow.net/questions/129/how-can-you-tell-if-a-space-is-homotopy-equivalent-to-a-manifold Mathoverflow question].
=== Simply connected odd-dimensional L-groups ===
+
=== Simply connected surgery obstruction groups ===
<wikitex>;
<wikitex>;
How does one prove that $L_{2k+1}(e) = 0$ ?
+
How does one prove that
+
$L_{4j}(e)=Z$, $L_{4j+2}(e)=Z_2$, $L_{2k+1}(e) = 0$ ?
Read {{cite|Kervaire&Milnor1963|Section 6}} and/or {{cite|Browder1972|IV.3}} and/or {{cite|Ranicki2002|12.6}}.
+
Read {{cite|Kervaire&Milnor1963}} and/or {{cite|Browder1972}} and/or {{cite|Ranicki2002|Chapter 12}}.
</wikitex>
</wikitex>

Revision as of 08:26, 11 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)=Z, L_{4j+2}(e)=Z_2, L_{2k+1}(e) = 0 ?

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

2 References

Personal tools
Namespaces
Variants
Actions
Navigation
Interaction
Toolbox