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Part One Algebraic K-theory
1. Finite structures
2. Geometric bands
3. Algebraic bands
4. Localization and completion in K-theory
5. K-theory of polynomial extensions
6. K-theory of formal power series
7. Algebraic transversality
8. Finite domination and Novikov homology
9. Noncommutative localization
10. Endomorphism K-theory
11. The characteristic polynomial
12. Primary K-theory
13. Automorphism K-theory
14. Witt vectors
15. The fibering obstruction
16. Reidemeister torsion
17. Alexander polynomials
18. K-theory of Dedekind rings
19. K-theory of function fields
Part Two Algebraic L-theory
20. Algebraic Poincar ́ complexes
21. Codimension q surgery
22. Codimension 2 surgery
23. Manifold and geometric Poincar ́ bordism of X × S 1
24. L-theory of Laurent extensions
25. Localization and completion in L-theory
26. Asymmetric L-theory
27. Framed codimension 2 surgery
28. Automorphism L-theory
29. Open books
30. Twisted doubles
31. Isometric L-theory
32. Seifert and Blanchfield complexes
33. Knot theory
34. Endomorphism L-theory
35. Primary L-theory
36. Almost symmetric L-theory
37. L-theory of fields and rational localization
38. L-theory of Dedekind rings
39. L-theory of function fields
40. The multisignature
41. Coupling invariants
42. The knot cobordism groups
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High Dimensional Knot Theory
Algebraic surgery in codimension 2
Andrew Ranicki
Algebraic surgery in codimension 2
Andrew Ranicki
Table of Contents
1. Finite structures
2. Geometric bands
3. Algebraic bands
4. Localization and completion in K-theory
5. K-theory of polynomial extensions
6. K-theory of formal power series
7. Algebraic transversality
8. Finite domination and Novikov homology
9. Noncommutative localization
10. Endomorphism K-theory
11. The characteristic polynomial
12. Primary K-theory
13. Automorphism K-theory
14. Witt vectors
15. The fibering obstruction
16. Reidemeister torsion
17. Alexander polynomials
18. K-theory of Dedekind rings
19. K-theory of function fields
Part Two Algebraic L-theory
20. Algebraic Poincar ́ complexes
21. Codimension q surgery
22. Codimension 2 surgery
23. Manifold and geometric Poincar ́ bordism of X × S 1
24. L-theory of Laurent extensions
25. Localization and completion in L-theory
26. Asymmetric L-theory
27. Framed codimension 2 surgery
28. Automorphism L-theory
29. Open books
30. Twisted doubles
31. Isometric L-theory
32. Seifert and Blanchfield complexes
33. Knot theory
34. Endomorphism L-theory
35. Primary L-theory
36. Almost symmetric L-theory
37. L-theory of fields and rational localization
38. L-theory of Dedekind rings
39. L-theory of function fields
40. The multisignature
41. Coupling invariants
42. The knot cobordism groups
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Click Here To Download
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