Surgery resources
From Manifold Atlas
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This page gives links to resources on surgery theory.
Contents |
1 Weblinks
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
- Algebraic K-theory
- Fundamental Group
- Homology and cohomology
- Homotopy
- Homotopy Group
- List of conjectures (not just in surgery theory)
- Reidemeister torsion
4 References
- [Farrell1982] F. T. Farrell, Review of "Exact sequences in algebraic surgery by A. A. Ranicki", Mathematical Reviews MR0620795 (82h:57027)
- [Ferry&Ranicki&Rosenberg1995] S. C. Ferry, A. A. Ranicki and J. Rosenberg, Novikov conjectures, index theorems and rigidity. Vol. 1. London Math. Soc. Lecture Note Ser., 226, Cambridge Univ. Press, Cambridge, 1995. MR1388294 (96m:57002) Zbl 0829.00027