16 citations · 44 across the 9 of their papers we have counts for
9 papers
Compressed Manifold Modes: Fast Calculation and Natural Ordering
Kevin Houston
Compressed manifold modes are locally supported analogues of eigenfunctions of the Laplace-Beltrami operator of a manifold. In this paper we describe an algorithm for the calculati…
A-classification of map-germs via K-equivalence
Kevin Houston, Roberta Wik Atique
The classification of map-germs up to the natural right-left equivalence (also known as A-equivalence) is often complicated. Certainly it is more complicated than K-equivalence whi…
Vector fields liftable over corank 1 stable maps
Kevin Houston, Daniel Littlestone
Generators for the module of vector fields liftable over corank 1 stable complex analytic maps from an n-manifold to an (n+1)-manifold are found. This is applied to the classificat…
Homotopy Type of Disentanglements of Multi-germs
Kevin Houston
For a complex analytic map f from n-space to p-space with n<p and with an isolated instability at the origin, the disentanglement of f is a local stabilization of f that is analogo…
Equisingularity and The Euler Characteristic of a Milnor Fibre
Kevin Houston
We study the Euler characteristic of the Milnor fibre of a hypersurface singularity. This invariant is given in terms of the Euler characteristic of a fibre in between the original…
Stratification of Unfoldings of Corank 1 Singularities
Kevin Houston
In the study of equisingularity of families of mappings Gaffney introduced the crucial notion of excellent unfoldings. This definition essentially says that the family can be strat…