Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2017 · math.GTShow all

8 papers · 2 filters

math.GT2017★ 25 cited

Branched covers of quasipositive links and L-spaces

Michel Boileau, Steven Boyer, Cameron McA. Gordon

Let $L$ be a oriented link such that $Σ_{n} (L)$ , the $n$ -fold cyclic cover of $S^{3}$ branched over $L$ , is an L-space for some $n \geq 2$ . We show that if either $L$ is a strongly qua…

math.GT2017

The virtual Thurston seminorm of 3-manifolds

Michel Boileau, Stefan Friedl

We show that the Thurston seminorms of all finite covers of an aspherical 3-manifold determine whether it is a graph manifold, a mixed 3-manifold or hyperbolic.

math.GT2017

A spectral approach to the linking number in the 3-torus

Adrien Boulanger

Given a closed Riemannian manifold and a pair of multi-curves in it, we give a formula relating the linking number of the later to the spectral theory of the Laplace operator actin…

math.GT2017★ 1 cited

Splitting formulas for the rational lift of the Kontsevich integral

Delphine Moussard

Kricker defined an invariant of knots in homology 3-spheres which is a rational lift of the Kontsevich integral, and proved with Garoufalidis that this invariant satisfies splittin…

math.GT2017★ 10 cited

On families of fibred knots with equal Seifert forms

Filip Misev

For every genus $g \geq 2$ , we construct an infinite family of strongly quasipositive fibred knots having the same Seifert form as the torus knot $T (2, 2 g + 1)$ . In particular, their s…

math.GT2017

Volume of representations and mapping degree

Pierre Derbez, Yi Liu, Hongbin Sun +1

Given a connected real Lie group and a contractible homogeneous proper $G$ --space $X$ furnished with a $G$ --invariant volume form, a real valued volume can be assigned to any repre…