42 citations · 69 across the 29 of their papers we have counts for
7 papers · 2 filters
Knot spinning
Greg Friedman
This is an introduction to the construction of higher-dimensional knots by spinning methods. Simple spinning of classical knots was introduced by E. Artin in 1926, and several gene…
Triangulations of 3-dimensional pseudomanifolds with an application to state-sum invariants
Markus Banagl, Greg Friedman
We demonstrate the triangulability of compact 3-dimensional topological pseudomanifolds and study the properties of such triangulations, including the Hauptvermutung and relations…
Some non-trivial PL knots whose complements are homotopy circles
Greg Friedman
We show that there exist non-trivial piecewise-linear (PL) knots with isolated singularities , , whose complements have the homotopy type of a circle.…
Superperverse intersection cohomology: stratification (in)dependence
Greg Friedman
Within its traditional range of perversity parameters, intersection cohomology is a topological invariant of pseudomanifolds. This is no longer true once one allows superperversiti…
Singular chain intersection homology for traditional and super-perversities
Greg Friedman
We introduce a singular chain intersection homology theory which generalizes that of King and which agrees with the Deligne sheaf intersection homology of Goresky and MacPherson on…
Groups of locally-flat disk knots and non-locally-flat sphere knots
Greg Friedman
The classical knot groups are the fundamental groups of the complements of smooth or piecewise-linear (PL) locally-flat knots. For PL knots that are not locally-flat, there is a pa…
Cobordism of disk knots
Greg Friedman
We study cobordisms and cobordisms rel boundary of PL locally-flat disk knots $D^{n-2}\into D^n$. Cobordisms of disk knots that do not fix the boundary sphere knots are easily clas…