Generalized Arf invariants in algebraic L-theory
Abstract
The difference between the quadratic L-groups L*(A) and the symmetric L-groups L*(A) of a ring with involution A is detected by generalized Arf invariants. The special case A=Z[x] gives a complete set of invariants for the Cappell UNil-groups UNil*(Z;Z,Z) for the infinite dihedral group D∞=Z2*Z2, extending the results of Connolly and Ranicki (math.AT/0304016) and Connolly and Davis.
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