10 citations · 10 across the 12 of their papers we have counts for
12 papers
Genus-zero links with prescribed knots as components
Raphael Appenzeller, José Pedro Quintanilha
We prove that any finite collection of at least three isotopy classes of knots in a 3-manifold is realizable as the components of a genus-zero link in , provided that an obv…
Cobordism-equivalence for codimension-one submanifolds
Stefan Friedl, Tobias Hirsch, Clayton McDonald +2
We show that two hypersurfaces in a manifold are related by a sequence of embedded cobordisms if and only if they represent the same homology class. By applying handle decompositio…
All knots are trivial: a "proof" by sleight of hand
Raphael Appenzeller, José Pedro Quintanilha
We take a close look at a classical magic trick performed with a string, where a trivial knot is seemingly isotoped into a trefoil, and generalize it to a family of magic tricks fo…
Geometric invariants of TDLC completions
Ilaria Castellano, José Pedro Quintanilha
Recently, Bonn and Sauer showed that, from the point of view of compactness properties, the Schlichting completion of a Hecke pair behaves precisely as if it were the quoti…
Geometric invariants of locally compact groups: the homological perspective
Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha
In this paper we develop the homological version of -theory for locally compact Hausdorff groups, leaving the homotopical version for another paper. Both versions are connected…
Algorithms in 4-manifold topology
Stefan Bastl, Rhuaidi Burke, Rima Chatterjee +28
We show that there exists an algorithm that takes as input two closed, simply connected, topological 4-manifolds and decides whether or not these 4-manifolds are homeomorphic. In p…
Geometric invariants of locally compact groups: the homotopical perspective
Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha
We extend the classical theory of homotopical -sets developed by Bieri, Neumann, Renz and Strebel for abstract groups, to -sets for locally compact…
Writhe invariants of 3-regular spatial graphs
Stefan Friedl, Tejas Kalelkar, José Pedro Quintanilha
We give a necessary condition for two diagrams of -regular spatial graphs with the same underlying abstract graph to represent isotopic spatial graphs. The test works by rea…
An algorithm to calculate generalized Seifert matrices
Stefan Friedl, Chinmaya Kausik, José Pedro Quintanilha
We develop an algorithm for computing generalized Seifert matrices for colored links given as closures of colored braids. The algorithm has been implemented by the second author as…
Canonical decompositions and algorithmic recognition of spatial graphs
Stefan Friedl, Lars Munser, José Pedro Quintanilha +1
We prove that there exists an algorithm for determining whether two piecewise-linear spatial graphs are isomorphic. In its most general form, our theorem applies to spatial graphs…
The Complex of Hypersurfaces in a Homology Class
Gerrit Herrmann, José Pedro Quintanilha
For a compact oriented smooth -manifold and a codimension- homology class , we investigate a simplicial complex $\mathcal{S}^\…
Stable integral simplicial volume of 3-manifolds
Daniel Fauser, Clara Loeh, Marco Moraschini +1
We show that non-elliptic prime 3-manifolds satisfy integral approximation for the simplicial volume, i.e., that their simplicial volume equals the stable integral simplicial volum…