This is the first unified treatment in book form of the lower
K-groups of Bass and the lower L-groups of the author. These groups
arise as the Grothendieck groups of modules and quadratic forms
which are components of the K- and L-groups of polynomial
extensions. They are important in the topology of non-compact
manifolds such as Euclidean spaces, being the value groups for
Whitehead torsion, the Siebemann end obstruction and the Wall
finiteness and surgery obstructions. Some of the applications to
topology are included, such as the obstruction theories for
splitting homotopy equivalences and for fibering compact manifolds
over the circle. Only elementary algebraic constructions are used,
which are always motivated by topology. The material is accessible
to a wide mathematical audience, especially graduate students and
research workers in topology and algebra.
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