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Lower K- and L-theory

Lower K- and L-theory

$48.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: May 1992
  • availability: Available
  • format: Paperback
  • isbn: 9780521438018

$ 48.99 (C)
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About the Authors
  • This is the first treatment in book form of the applications of the lower K- and L-groups (which are the components of the Grothendieck groups of modules and quadratic forms over polynomial extension rings) to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. The author uses only elementary constructions and gives a full algebraic account of the groups involved; of particular note is an algebraic treatment of geometric transversality for maps to the circle.

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    Product details

    • Date Published: May 1992
    • format: Paperback
    • isbn: 9780521438018
    • length: 184 pages
    • dimensions: 229 x 152 x 11 mm
    • weight: 0.28kg
    • availability: Available
  • Table of Contents

    Introduction
    1. Projective class and torsion
    2. Graded and bounded categories
    3. End invariants
    4. Excision and transversality in K-theory
    5. Isomorphism torsion
    6. Open cones
    7. K-theory of C1 (A)
    8. The Laurent polynominal extension category A[z, z-1]
    9. Nilpotent class
    10. K-theory of A[z, z-1]
    11. Lower K-theory
    12. Transfer in K-theory
    13. Quadratic L-theory
    14. Excision and transversality in L-theory
    15. L-theory of C1 (A)
    16. L-theory of A[z, z-1]
    17. Lower L-theory
    18. Transfer in L-theory
    19. Symmetric L-theory
    20. The algebraic fibering obstruction
    References
    Index.

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    Lower K- and L-theory

    Andrew Ranicki

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    Andrew Ranicki

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