Laboratoire de Mathématiques Jean Leray

output

19962026

most citedDeterminantal point process models and statistical inference : Extended version

238 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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59 papers · 1 filter

math.GT2025

Every negative amphichiral knot is rationally slice

Alessio Di Prisa, Jaewon Lee, Oğuz Şavk

In 2009, Kawauchi proved that every strongly negative amphichiral knot is rationally slice. However, as shown by Hartley in 1980, there are examples of negative amphichiral knots t…

math.GT2024

Equivariant Q-sliceness of strongly invertible knots

Alessio Di Prisa, Oğuz Şavk

We introduce and study the notion of equivariant $Q$ -sliceness for strongly invertible knots. On the constructive side, we prove that every Klein amphichiral knot, which i…

math.GT2024

Oka and Alexander polynomials of symplectic curves and divisibility relations

Hanine Awada, Marco Golla

We prove Libgober's divisibility relations for Oka and Alexander polynomials of symplectic curves in the complex projective plane. Along the way, we give new proofs of the divisibi…

math.GT2023★ 2 cited

About the diffeomorphisms of the 3-sphere and a famous theorem of Cerf ( $Γ_{4} = 0$ )

François Laudenbach

Using a rigidity property of the foliations of $S^{2} \times [0, 1]$ that are defined by a non-vanishing closed one-form, we give a rather simple proof of a theorem due J. Cerf, goin…

math.GT2023

Multisections of higher-dimensional manifolds

Fathi Ben Aribi, Sylvain Courte, Marco Golla +1

Generalizing Heegaard splittings of 3-manifolds and trisections of 4-manifolds, we consider multisections of higher-dimensional smooth (or PL) closed orientable manifolds, namely d…

math.GT2022

On homology planes and contractible $4$ -manifolds

Rodolfo Aguilar Aguilar, Oğuz Şavk

We call a non-trivial homology sphere a Kirby-Ramanujam sphere if it bounds both a homology plane and a Mazur or Poénaru manifold. In 1980, Kirby found the first example by proving…

math.GT2021

Rational cuspidal curves and symplectic fillings

Marco Golla, Laura Starkston

A symplectic rational cuspidal curve with positive self-intersection number admits a concave neighborhood, and thus a corresponding contact manifold on the boundary. In this articl…

math.GT2021

3-manifolds that bound no definite 4-manifold

Marco Golla, Kyle Larson

We produce a rational homology 3-sphere that does not smoothly bound either a positive or negative definite 4-manifold. Such a 3-manifold necessarily cannot be rational homology co…

math.GT2020

Classical and new plumbed homology spheres bounding contractible manifolds and homology balls

Oguz Savk

A central problem in low-dimensional topology asks which homology $3$ -spheres bound contractible $4$ -manifolds or homology $4$ -balls. In this paper, we address this question for pl…

math.GT2020★ 5 cited

Surgeries on torus knots, rational balls, and cabling

Paolo Aceto, Marco Golla, Kyle Larson +1

We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral…

math.GT2020★ 2 cited

An Euler-type formula for partitions of the Möbius strip

Pierre Bérard, Bernard Helffer

The purpose of this note is to prove an Euler-type formula for partitions of the Möbius strip. This formula was introduced in our joint paper with R.~Kiwan, "Courant-sharp property…

math.GT2020

The Poincaré-Lefschetz pairing viewed on Morse complexes

François Laudenbach

Given a compact manifold with a non-empty boundary and equipped with a generic Morse function (that is, no critical point on the boundary and the restriction to the boundary is a M…

math.GT2019★ 1 cited

On the Conical Novikov Homology

A. Pajitnov

Let $ω$ be a Morse form on a manifold $M$ . Let $p : M^\to M$ be a regular covering with structure group $G$ , such that $p^{*} ([ω]) = 0$ . Let $ξ : G \to R$ be the corresponding p…

math.GT2019

W. P. Thurston and French mathematics

François Laudenbach, Athanase Papadopoulos

We give a general overview of the influence of William Thurston on the French mathematical school and we show how some of the major problems he solved are rooted in the French math…

math.GT2018★ 4 cited

A geometric Morse-Novikov complex with infinite series coefficients

François Laudenbach, Carlos Moraga Ferrandiz

Let M be a closed n-dimensional manifold, n > 2, whose first real cohomology group H 1 (M ; R) is non-zero. We present a general method for constructing a Morse 1-form $α$ on M , c…

math.GT2018

A corrected quantitative version of the Morse lemma

Sébastien Gouëzel, Vladimir Shchur

There is a gap in the proof of the main theorem in the article [ShCh13a] on optimal bounds for the Morse lemma in Gromov-hyperbolic spaces. We correct this gap, showing that the ma…

math.GT2018★ 3 cited

On definite lattices bounded by integer surgeries along knots with slice genus at most 2

Marco Golla, Christopher Scaduto

We classify the positive definite intersection forms that arise from smooth 4-manifolds with torsion-free homology bounded by positive integer surgeries on the right-handed trefoil…

math.GT2018★ 2 cited

Linear independence in the rational homology cobordism group

Marco Golla, Kyle Larson

We give simple homological conditions for a rational homology 3-sphere Y to have infinite order in the rational homology cobordism group, and for a collection of rational homology…

math.GT2018★ 7 cited

Functoriality of the EH class and the LOSS invariant under Lagrangian concordances

Marco Golla, András Juhász

We show that the EH class and the LOSS invariant of Legendrian knots in contact 3-manifolds are functorial under regular Lagrangian concordances in Weinstein cobordisms. This gives…

math.GT2017

Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds

Ch Bonatti, V Grines, F Laudenbach +1

We show that, up to topological conjugation, the equivalence class of a Morse-Smale diffeomorphism without heteroclinic curves on 3-manifold is completely defined by an em- bedding…

math.GT2016

Circle-valued Morse theory for frame spun knots and surface-links

Hisaaki Endo, Andrei Pajitnov

Let N be a closed oriented k-dimensional submanifold of the (k+2)-dimensional sphere; denote its complement by C(N). Denote by x the 1-dimensional cohomology class in C(N), dual to…

math.GT2016★ 1 cited

Homoclinic bifurcation in Morse-Novikov theory, a doubling phenomenon

François Laudenbach, Carlos Moraga Ferrándiz

We consider a compact manifold of dimension greater than 2 and a differential form of degree one which is closed but non-exact. This form, viewed as a multi-valued function has a g…

math.GT2015★ 2 cited

On an article by S. A. Barannikov

Francois Laudenbach

Given a Morse function f on a closed manifold M with distinct critical values, and given a field F, there is a canonical complex, called the Morse-Barannikov complex, which is equi…

math.GT2015

On the Morse-Novikov number for 2-knots