High-dimensional Knot Theory Algebraic Surgery in Codimension 2
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. This is the first book entirely devoted to high-dimensional knots. The main theme is the application of the author'...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1998, 1998
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| Edition: | 1st ed. 1998 |
| Series: | Springer Monographs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Algebraic K-theory
- Finite structures
- Geometric bands
- Algebraic bands
- Localization and completion in K-theory
- K-theory of polynomial extensions
- K-theory of formal power series
- Algebraic transversality
- Finite domination and Novikov homology
- Noncommutative localization
- Endomorphism K-theory
- The characteristic polynomial
- Primary K-theory
- Automorphism K-theory
- Witt vectors
- The fibering obstruction
- Reidemeister torsion
- Alexander polynomials
- K-theory of Dedekind rings
- K-theory of function fields
- Algebraic L-theory
- Algebraic Poincaré complexes
- Codimension q surgery
- Codimension 2 surgery
- Manifold and geometric Poincaré bordism of X × S 1
- L-theory of Laurent extensions
- Localization and completion in L-theory
- Asymmetric L-theory
- Framed codimension 2 surgery
- Automorphism L-theory
- Open books
- Twisted doubles
- Isometric L-theory
- Seifert and Blanchfield complexes
- Knot theory
- Endomorphism L-theory
- Primary L-theory
- Almost symmetric L-theory
- L-theory of fields and rational localization
- L-theory of Dedekind rings
- L-theory of function fields
- The multisignature
- Coupling invariants
- The knot cobordism groups