Abstract
This manuscript contains extended notes of the lectures presented by the author at the summer school 'High-dimensional Manifold Theory' in Trieste in May/June 2001. It is written not for experts but for talented and well educated graduate students or Ph.D. students who have some backgroin algebraic and differential topology. Surgery theory has been and is a very successful and well established theory. It was initiated and developed by Browder, Kervaire, Milnor, Novikov, Sullivan, Wall and others and is still a very active research area. The idea of these notes is to give young mathematicians the possibility to get access to the field and to see at least a small part of the results which have grown out of surgery theory. Of course there are other good text books and survey articles about surgery theory, some of them are listed in the references. Chapters 1 and 2 contain interesting and beautiful results such as the s-Cobordism Theorem and the classification of lens spaces including their illuminating proofs. If one wants to start with the surgery machinery immediately, one may skip these chapters and pass directly to Chapters 3, 4 and 5. As an application we present the classification of homotopy spheres
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Lueck, W
[1]
- Fachbereich Mathematik und Informatik, Westfaelische Wilhelms-Universitaet Muenster, Muenster (Germany)
Citation Formats
Lueck, W.
A basic introduction to surgery theory.
IAEA: N. p.,
2002.
Web.
Lueck, W.
A basic introduction to surgery theory.
IAEA.
Lueck, W.
2002.
"A basic introduction to surgery theory."
IAEA.
@misc{etde_20901499,
title = {A basic introduction to surgery theory}
author = {Lueck, W}
abstractNote = {This manuscript contains extended notes of the lectures presented by the author at the summer school 'High-dimensional Manifold Theory' in Trieste in May/June 2001. It is written not for experts but for talented and well educated graduate students or Ph.D. students who have some backgroin algebraic and differential topology. Surgery theory has been and is a very successful and well established theory. It was initiated and developed by Browder, Kervaire, Milnor, Novikov, Sullivan, Wall and others and is still a very active research area. The idea of these notes is to give young mathematicians the possibility to get access to the field and to see at least a small part of the results which have grown out of surgery theory. Of course there are other good text books and survey articles about surgery theory, some of them are listed in the references. Chapters 1 and 2 contain interesting and beautiful results such as the s-Cobordism Theorem and the classification of lens spaces including their illuminating proofs. If one wants to start with the surgery machinery immediately, one may skip these chapters and pass directly to Chapters 3, 4 and 5. As an application we present the classification of homotopy spheres in Chapter 6. Chapters 7 and 8 contain material which is directly related to the main topic of the summer school.}
place = {IAEA}
year = {2002}
month = {Aug}
}
title = {A basic introduction to surgery theory}
author = {Lueck, W}
abstractNote = {This manuscript contains extended notes of the lectures presented by the author at the summer school 'High-dimensional Manifold Theory' in Trieste in May/June 2001. It is written not for experts but for talented and well educated graduate students or Ph.D. students who have some backgroin algebraic and differential topology. Surgery theory has been and is a very successful and well established theory. It was initiated and developed by Browder, Kervaire, Milnor, Novikov, Sullivan, Wall and others and is still a very active research area. The idea of these notes is to give young mathematicians the possibility to get access to the field and to see at least a small part of the results which have grown out of surgery theory. Of course there are other good text books and survey articles about surgery theory, some of them are listed in the references. Chapters 1 and 2 contain interesting and beautiful results such as the s-Cobordism Theorem and the classification of lens spaces including their illuminating proofs. If one wants to start with the surgery machinery immediately, one may skip these chapters and pass directly to Chapters 3, 4 and 5. As an application we present the classification of homotopy spheres in Chapter 6. Chapters 7 and 8 contain material which is directly related to the main topic of the summer school.}
place = {IAEA}
year = {2002}
month = {Aug}
}