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In the classical theory of quadratic forms the ground ring is a eld, or a ring of integers in an algebraic number eld, and quadratic forms are classi ed up to isomorphism. Although isomorphism groups of quadratic forms have been studied before, by witt and others, the topological applications require new algebraic methods (cf Z, z) for the infinite dihedral group d ∞ = z 2 * z 2, extending the results of connolly and ranicki [adv

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As a consequence, we obtain a corresponding splitting of the space g/top Need to do surgery below the middle dimension to read o (f Problems when n 0 (2) then (f

B) is a quadratic form when n 1 (2) then (f

B) is a quadratic formation