Surgery resources

Latest revision as of 17:25, 18 April 2012

This page gives links to resources on surgery theory.

1 Weblinks

• Andrew Ranicki's surgery bits and pieces
• Misha Gromov's website
• The Edinburgh Surgery Theory Study Group

2 Bibliography

• [Milnor1961]
• [Browder1972]
• [Farrell1982] (contains a suggested reading programme)
• [Ferry&Ranicki&Rosenberg1995]
• [Ferry&Ranicki&Rosenberg1995a]
• [Gromov2010]
• [Kervaire&Milnor1963]
• [Kirby&Siebenmann1977]
• [Lück2001]
• [Novikov2010]
• [Ranicki2002]
• [Wall1999]

3 Wikipedia pages

3.1 Pages specific to surgery

• Arf invariant
• Baum-Connes conjecture
• Borel conjecture
• Categories of manifolds
• Characteristic classes
• Classification of manifolds
• Cobordism
• Differential manifold
• Differential structure
• Differential topology
• Embedding
• ε-quadratic form
• Exotic sphere
• Farrell-Jones Conjecture
• Handlebody
• Hauptvermutung
• h-cobordism also s-cobordism
• Hirzebruch signature theorem
• Homotopy Groups of Spheres
• Immersion
• Index theory
• Intersection theory
• Kervaire invariant
• Kirby Siebenmann obstruction
• Lens space
• L-theory
• Manifold
• Morse theory
• Normal bundle
• Novikov conjecture
• Poincare conjecture
• Poincare duality
• Pontrjagin class
• Quadratic form
• Regular homotopy
• Rokhlin's theorem
• Signature (topology)
• Surgery Theory
• Structure Set
• Transversality
• Whitehead torsion

3.2 Pages on related topics

• Algebraic K-theory
• Fundamental Group
• Homology and cohomology
• Homotopy
• Homotopy Group
• List of conjectures (not just in surgery theory)
• Reidemeister torsion

4 References