68 citations · 74 across the 4 of their papers we have counts for
8 papers
Hard Diagrams of the Unknot
Benjamin A. Burton, Hsien-Chih Chang, Maarten Löffler +5
We present three "hard" diagrams of the unknot. They require (at least) three extra crossings before they can be simplified to the trivial unknot diagram via Reidemeister moves in…
Computation of Large Asymptotics of 3-Manifold Quantum Invariants
Clément Maria, Owen Rouillé
Quantum topological invariants have played an important role in computational topology, and they are at the heart of major modern mathematical conjectures. In this article, we stud…
Computing Persistent Homology with Various Coefficient Fields in a Single Pass
Jean-Daniel Boissonnat, Clément Maria
This article introduces an algorithm to compute the persistent homology of a filtered complex with various coefficient fields in a single matrix reduction. The algorithm is output-…
The Simplex Tree: an Efficient Data Structure for General Simplicial Complexes
Jean-Daniel Boissonnat, Clément Maria
This paper introduces a data structure, called simplex tree, to represent abstract simplicial complexes of any dimension. All faces of the simplicial complex are explicitly stored…
Intrinsic Topological Transforms via the Distance Kernel Embedding
Clément Maria, Steve Oudot, Elchanan Solomon
Topological transforms are parametrized families of topological invariants, which, by analogy with transforms in signal processing, are much more discriminative than single measure…
Parameterized complexity of quantum invariants
Clément Maria
We give a general fixed parameter tractable algorithm to compute quantum invariants of links presented by diagrams, whose complexity is singly exponential in the carving-width (or…