Generalized Arf invariants in algebraic L-theory

Details Generalized Arf invariants in algebraic L-theory Generalized Arf invariants in algebraic L-theory

2003-04-23

arxiv.org/abs/math/0304362v1

Mathematics

Algebraic Topology

90 pages, LATEX

Scientific paper

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_{\infty}=Z_2*Z_2, extending the results of Connolly and Ranicki (math.AT/0304016) and Connolly and Davis.

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