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arXiv 2003-04-23 0 views

Generalized Arf invariants in algebraic L-theory

Banagl, Markus · Ranicki, Andrew

Original · EN

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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