Bonn THDM 2013: Background

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Prerequisites

The prerequisites for the seminar 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

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