Surgery resources
(Difference between revisions)
(→Bibliography) |
(→Bibliography) |
||
| Line 10: | Line 10: | ||
*\cite{Browder1972} | *\cite{Browder1972} | ||
*\cite{Farrell1982} (contains a suggested reading programme) | *\cite{Farrell1982} (contains a suggested reading programme) | ||
| + | *\cite{Ferry&Ranicki&Rosenberg1995} | ||
| + | *\cite{Ferry&Ranicki&Rosenberg1995a} | ||
*\cite{Gromov2010} | *\cite{Gromov2010} | ||
*\cite{Kervaire&Milnor1963} | *\cite{Kervaire&Milnor1963} | ||
Revision as of 09:12, 28 September 2010
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
- [Browder1972] W. Browder, Surgery on simply-connected manifolds, Springer-Verlag, New York, 1972. MR0358813 (50 #11272) Zbl 0543.57003
- [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
- [Ferry&Ranicki&Rosenberg1995a] S. C. Ferry, A. A. Ranicki and J. Rosenberg, Novikov conjectures, index theorems and rigidity. Vol. 2, London Math. Soc. Lecture Note Ser., 227, Cambridge Univ. Press, Cambridge, 1995. MR1388306 (96m:57003) Zbl 0829.00028
- [Gromov2010] M. Gromov, Manifolds: Where Do We Come From? What Are We? Where Are We Going? (2010)
- [Kervaire&Milnor1963] M. A. Kervaire and J. W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504–537. MR0148075 (26 #5584) Zbl 0115.40505
- [Kirby&Siebenmann1977] R. C. Kirby and L. C. Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, Princeton University Press, Princeton, N.J., 1977. MR0645390 (58 #31082) Zbl 0361.57004
- [Lück2001] W. Lück, A basic introduction to surgery theory, 9 (2001), 1–224. Available from the author's homepage. MR1937016 (2004a:57041) Zbl 1045.57020
- [Milnor1961] J. Milnor, A procedure for killing homotopy groups of differentiable manifolds, Proc. Sympos. Pure Math, Vol. III (1961), 39–55. MR0130696 (24 #A556) Zbl 0118.18601
- [Novikov2010] S. P. Novikov, Scholarpedia article on the Novikov Conjecture (2010)
- [Ranicki2002] A. Ranicki, Algebraic and geometric surgery, The Clarendon Press Oxford University Press, Oxford, 2002. MR2061749 (2005e:57075) Zbl 1003.57001
- [Wall1999] C. T. C. Wall, Surgery on compact manifolds, American Mathematical Society, Providence, RI, 1999. MR1687388 (2000a:57089) Zbl 0935.57003
