1 citations · 2 across the 6 of their papers we have counts for
18 papers
Algebraic and combinatorial codimension-1 transversality
Andrew Ranicki
The Waldhausen construction of Mayer-Vietoris splittings of chain complexes over an injective generalized free product of group rings is extended to a combinatorial construction of…
Generalized Arf invariants in algebraic L-theory
Markus Banagl, Andrew Ranicki
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…
On the calculation of UNil
Frank Connolly, Andrew Ranicki
Cappell's codimension 1 splitting obstruction surgery group UNil_n(R;R,R) of a ring with involution R is a direct summand of the Wall surgery obstruction group L_n(R[D_{\infty}]) o…
Noncommutative localization in topology
Andrew Ranicki
A survey of the applications of the noncommutative Cohn localization of rings to the topology of manifolds with infinite fundamental group, with particular emphasis on the algebrai…
Blanchfield and Seifert algebra in high dimensional knot theory
Andrew Ranicki
Novikov initiated the study of the algebraic properties of quadratic forms over polynomial extensions by a far-reaching analogue of the Pontrjagin-Thom transversality construction…
Representations of algebras as universal localizations
Amnon Neeman, Andrew Ranicki, Aidan Schofield
Every finitely presented algebra S is shown to be Morita equivalent to the universal localization σ^{-1}R of a finite dimensional algebra R. The construction provides many examples…