Pierre Dehornoy
Présentation
Publications
Publications
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Intersection norms on surfaces and Birkhoff cross sectionsAlgebraic and Geometric Topology, 2024, 25 (8), pp.4499-4545. ⟨10.2140/agt.2025.25.4499⟩ |
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Generic properties of 3-dimensional Reeb flows: Birkhoff sections and entropyCommentarii Mathematici Helvetici, 2023, 99 (3), pp.557-611. ⟨10.4171/CMH/573⟩ |
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On the existence of supporting broken book decompositions for contact forms in dimension 3Inventiones Mathematicae, 2022, 231 (3), pp.1489-1539. ⟨10.1007/s00222-022-01160-7⟩ |
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Vector fields and genus in dimension 3International Mathematics Research Notices, 2022, 2022 (5), pp.3262-3277. ⟨10.1093/imrn/rnaa255⟩ |
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Signature and concordance of positive knotsBulletin of the London Mathematical Society, 2018, 50 (1), pp.166-173. ⟨10.1112/blms.12124⟩ |
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Coding of geodesics and Lorenz-like templates for some geodesic flowsErgodic Theory and Dynamical Systems, 2018, 38 (3), ⟨10.1017/etds.2016.59⟩ |
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Which geodesic flows are left-handed ?Groups, Geometry, and Dynamics, 2018, ⟨10.4171/ggd/431⟩ |
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The trunkenness of a volume-preserving vector fieldNonlinearity, 2017, ⟨10.1088/1361-6544/aa83a8⟩ |
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Trefoil PlumbingProceedings of the American Mathematical Society, 2016, 144, pp.387-397. ⟨10.1090/proc/12561⟩ |
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Geodesic flow, left-handedness, and templatesAlgebraic and Geometric Topology, 2015, 15, pp.1525-1597. ⟨10.2140/agt.2015.15.1525⟩ |
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On the zeroes of the Alexander polynomial of a Lorenz knotAnnales de l'Institut Fourier, 2015, 65 (2), pp.509-548. ⟨10.5802/aif.2938⟩ |
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Genus one Birkhoff sections for geodesic flowsErgodic Theory and Dynamical Systems, 2015, 35 (6), pp.1795-1813. ⟨10.1017/etds.2014.14⟩ |
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Asymptotic invariants of 3-dimensional vector fieldsWinter Braids Lecture Notes, 2015, 2, pp.1-19. ⟨10.5802/wbln.8⟩ |
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Almost commensurability of 3-dimensional Anosov flowsComptes rendus de l'Académie des sciences. Série I, Mathématique, 2013, 351 (3-4), pp.127-129. ⟨10.1016/j.crma.2013.02.012⟩ |
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Les noeuds de LorenzL'Enseignement Mathématique , 2011, 57, pp.211-280 |
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On the 3-distortion of a path.European Journal of Combinatorics, 2008, http://www.elsevier.com/wps/find/journaldescription.cws_home/622824/description#description. ⟨10.1016/j.ejc.2006.11.002⟩ |
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The cat-bat map, the figure-eight knot, and the five orbifoldsDynamics, Foliation, and Geometry III, Andy Hammerlindl; Jessica Purcell, Feb 2023, Melbourne, Australia. pp.49-70, ⟨10.1007/978-3-031-76738-8_3⟩ |
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Hopf Arborescent Links, Minor Theory, and Decidability of the Genus DefectSymposium on Computational Geometry (SoCG), Jun 2024, Athenes, Greece. ⟨10.4230/LIPIcs.SoCG.2024.48⟩ |
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Small dilatation homeomorphisms as monodromies of Lorenz knotsGrowth and Mahler measures in geometry and topology, Jul 2013, Stockholm, Sweden |
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Minor theory for quasipositive surfacesEssays in Geometry, 1, EMS Press, pp.351-358, 2023, IRMA Lectures in Mathematics and Theoretical Physics, ⟨10.4171/IRMA/34/17⟩ |
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La courbe en huit sur les sphères à pointes et le nœud de huit2023 MATRIX Annals, 2022, pp.49-70. ⟨10.1007/978-3-031-76738-8_3⟩ |
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Almost equivalence of algebraic Anosov flowsf2019 |
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Divide monodromies and antitwists on surfaces2019 |
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Invariants topologiques des orbites périodiques d'un champ de vecteursMathématiques générales [math.GM]. Ecole normale supérieure de lyon - ENS LYON, 2011. Français. ⟨NNT : 2011ENSL0626⟩ |