Bonn THDM 2013: Background
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* [[:Category:Surgery|Surgery on the Manifold Atlas]] | * [[:Category:Surgery|Surgery on the Manifold Atlas]] | ||
[http://www.dailymotion.com/playlist/x235tg_Carmen_Rovi_oberwolfach-surgery-theory/1#video=xr61y1| Videos of the Oberwolfach lectures] | [http://www.dailymotion.com/playlist/x235tg_Carmen_Rovi_oberwolfach-surgery-theory/1#video=xr61y1| Videos of the Oberwolfach lectures] | ||
− | * [[User:Philipp Kuehl|Philipp Kühl's]] stenographic [[media:OSS2012LectureNotes.pdf|lecture notes]].-->The prerequisites for the Summer School are knowledge of the basics of differential and algebraic topology, meaning: manifolds, Poincaré duality, bundles, cobordism, transversality, generalized homology and cohomology and homotopy groups. | + | * [[User:Philipp Kuehl|Philipp Kühl's]] stenographic [[media:OSS2012LectureNotes.pdf|lecture notes]]. This page lists the material which will be assumed knowledge for the Summer School. |
+ | == Prerequisites ==-->The prerequisites for the Summer School are knowledge of the basics of differential and algebraic topology, meaning: manifolds, Poincaré duality, bundles, cobordism, transversality, generalized homology and cohomology and homotopy groups. | ||
Participants should be familiar with the concepts and ideas covered in the first 7 chapters of the book {{citeD|Ranicki2002}}. In addition participants should be familiar with the basics of spectra in stable homotopy theory. A good reference here is {{citeD|Hatcher2002|Section 4.F}}. | Participants should be familiar with the concepts and ideas covered in the first 7 chapters of the book {{citeD|Ranicki2002}}. In addition participants should be familiar with the basics of spectra in stable homotopy theory. A good reference here is {{citeD|Hatcher2002|Section 4.F}}. | ||
The main references for the material covered in the seminar are {{citeD|Lück2001}} and {{citeD|Kühl&Macko&Mole2011}}. | The main references for the material covered in the seminar are {{citeD|Lück2001}} and {{citeD|Kühl&Macko&Mole2011}}. | ||
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There is also a reading guide for surgery theory for topological manifolds available at the [http://www.map.mpim-bonn.mpg.de/Oberwolfach_Surgery_Seminar_2012:_Discussion discussion page of the TSO-at-MFO 2012] | There is also a reading guide for surgery theory for topological manifolds available at the [http://www.map.mpim-bonn.mpg.de/Oberwolfach_Surgery_Seminar_2012:_Discussion discussion page of the TSO-at-MFO 2012] | ||
[[Category:Bonn THDM 2013]] | [[Category:Bonn THDM 2013]] |
Revision as of 20:59, 18 June 2013
The prerequisites for the Summer School are knowledge of the basics of differential and algebraic topology, meaning: manifolds, Poincaré duality, bundles, cobordism, transversality, generalized homology and cohomology and homotopy groups.
Participants should be familiar with the concepts and ideas covered in the first 7 chapters of the book [Ranicki2002]. In addition participants should be familiar with the basics of spectra in stable homotopy theory. A good reference here is [Hatcher2002, Section 4.F].
The main references for the material covered in the seminar are [Lück2001] and [Kühl&Macko&Mole2011].
There is also a reading guide for surgery theory for topological manifolds available at the discussion page of the TSO-at-MFO 2012