13 citations · 18 across the 3 of their papers we have counts for
7 papers · 1 filter
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…
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…
Relation between quantum invariants of 3-manifolds and 2-dimensional CW-complexes
Ivelina Bobtcheva, Frank Quinn
We show that the Reshetikhin-Turaev-Walker invariant of 3-manifolds can be normalized to obtain an invariant of 4-dimensional thickenings of 2-complexes. Moreover when the underlyi…
Dual 2-complexes in 4-manifolds
Frank Quinn
Concerns decompositions of smooth 4-manifolds as the union of two handlebodies, each with handles of index <=2 (``Heegard'' decompositions).Sample result: Two 2-complexes are (up t…