Generalized Arf invariants in algebraic L-theory
Markus Banagl, Andrew Ranicki
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.
Create a lesson
Related papers
Representation stability of string links and manifold links
Filipp Buryak
New families of moment-angle manifolds diffeomorphic to connected sums of products of spheres
Victoria Kovyrshina, Taras Panov
HZ/4 is not an E2-Thom Spectrum over the 2-Complete Sphere Spectrum
Mattie Ji
Condensed Brown Comenetz Duality
Roey Hel-Or, Amos Kaminski
Affine Fixed Points on Flat Manifold Pairs
Aaron Reite
An Equivariant Landweber Exact Functor Theorem for Abelian Compact Lie Groups
Yingxin Li