13 citations · 18 across the 3 of their papers we have counts for
9 papers
Hyperelementary assembly for K-theory of virtually abelian groups
Frank Quinn
Controlled -theory is used to show that algebraic -theory of virtually abelian groups is described by an assembly map defined using possibly-infinite hyperelementary subgroup…
Cores of s-cobordisms of 4-manifolds
Frank Quinn
The main result is that an s-cobordism (topological or smooth) of 4-manifolds has a product structure outside a ``core'' sub s-cobordism. These cores are arranged to have quite a b…
Controlled K-theory I: Basic theory
Frank Quinn
This paper provides a full controlled version of algebraic -theory. This includes a rich array of assembly maps; the controlled assembly isomorphism theorem identifying the cont…
Lectures on controlled topology: mapping cylinder neighborhoods
Frank Quinn
The existence theorem for mapping cylinder neighborhoods is discussed as a prototypical example of controlled topology and its applications. The first of a projected series develop…
Controlled surgery with trivial local fundamental groups
Erik Pedersen, Frank Quinn, Andrew Ranicki
We provide a proof of the controlled surgery sequence, including stability, in the special case that the local fundamental groups are trivial. Stability is a key ingredient in the…
Dual decompositions of 4-manifolds II: linear invariants
Frank Quinn
This paper continues the study of decompositions of a smooth 4-manifold into two handlebodies with handles of index . Part I gave existence results in terms of spines and ch…