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The Orlik-Solomon model for hypersurface arrangements

Clément Dupont
Annales de l'Institut Fourier, 2015, 65 (6), pp.2507 - 2545. ⟨10.5802/aif.2994⟩
Journal articles hal-01812235v1

T-homotopy and refinement of observation (I) : Introduction

Philippe Gaucher
Electronic Notes in Theoretical Computer Science, 2009, 230, pp.103-110
Journal articles hal-00495662v1
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Contributions to the theory of KZB associators

Martin Gonzalez
Quantum Algebra [math.QA]. Sorbonne Université, 2018. English. ⟨NNT : 2018SORUS303⟩
Theses tel-02865424v2

Inverting weak dihomotopy equivalence using homotopy continuous flow

Philippe Gaucher
Theory and Applications of Categories, 2006, 16 (3), pp.59-83
Journal articles hal-00150920v1
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HOMOLOGY OF CATEGORIES VIA POLYGRAPHIC RESOLUTIONS

Léonard Guetta
Journal of Pure and Applied Algebra, 2021, 225 (10)
Journal articles hal-02512607v3
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Opetopes: Syntactic and Algebraic Aspects

Cédric Ho Thanh
Category Theory [math.CT]. Université de Paris, 2020. English. ⟨NNT : ⟩
Theses tel-02968939v1
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Kuperberg invariants for sutured 3-manifolds

Daniel López Neumann
Algebraic Topology [math.AT]. Université Paris Cité, 2020. English. ⟨NNT : 2020UNIP7036⟩
Theses tel-03189387v1
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Equations différentielles sur les surfaces et théorème d'uniformisation.

Nicolas Bergeron , Dominique Flament , Elisabeth de Pablo
2011
Videos medihal-01310376v1
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The Baum-Connes conjecture for Quantum Groups : stability properties and K-theory computations

Ruben Martos Prieto
Algebraic Topology [math.AT]. Université Sorbonne Paris Cité, 2018. English. ⟨NNT : 2018USPCC198⟩
Theses tel-02457112v1

The localization spectral sequence in the motivic setting

Clément Dupont , Daniel Juteau
Algebraic and Geometric Topology, In press
Journal articles hal-02503516v1
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Reflexive spaces of smooth functions : a logical account of linear partial differential equations

Marie Kerjean
Logic in Computer Science [cs.LO]. Université Sorbonne Paris Cité, 2018. English. ⟨NNT : 2018USPCC144⟩
Theses tel-02386294v1
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The Cantor Riemannium

Ricardo Pérez-Marco
2020
Preprints, Working Papers, ... hal-02552146v2
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Learning Topology-Preserving Data Representations

Ilya Trofimov , Daniil Cherniavskii , Eduard Tulchinskii , Nikita Balabin , Evgeny Burnaev et al.
ICLR 2023 International Conference on Learning Representations, May 2023, Kigali, Rwanda
Conference papers hal-04003214v1
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Layered and Object-Based Game Semantics *

Arthur Oliveira Vale , Paul-André Melliès , Zhong Shao , Jérémie Koenig , Léo Stefanesco et al.
Proceedings of the ACM on Programming Languages, 2022, ⟨10.1145/3498703⟩
Journal articles hal-03456034v1
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Homotopy theory of Moore flows (I)

Philippe Gaucher
Compositionality, 2021, 3 (3), ⟨10.32408/compositionality-3-3⟩
Journal articles hal-02989109v2
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Formality of a higher-codimensional Swiss-Cheese operad

Najib Idrissi
Algebraic and Geometric Topology, 2022, 22, ⟨10.21136/HS.2021.09⟩
Journal articles hal-01878406v3
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Curved Koszul duality of algebras over unital versions of binary operads

Najib Idrissi
J. Pure Appl. Algebra, 2023, 227 (3), pp.107208. ⟨10.1016/j.jpaa.2022.107208⟩
Journal articles hal-01786218v2

Joint et tranches pour les $\infty$-catégories strictes

Dimitri Ara , Georges Maltsiniotis
Mémoires de la Société Mathématique de France, 2020, 165, pp.1-213
Journal articles hal-01344056v1

Components of the fundamental category

Eric Goubault
Applied Categorical Structures, 2004, 12 (1), pp.81-108
Journal articles hal-00150859v1

Combinatorics of labelling in higher dimensional automata

Philippe Gaucher
Rencontre du projet ANR "Invariants algébriques des systèmes informatiques, Sep 2008, Lyon, France
Conference papers hal-00695163v1

Sémantique purement homotopique des algèbres de processus

Philippe Gaucher
Rencontre du projet ANR "Invariants algébriques des systèmes informatiques", Apr 2007, Paris, France
Conference papers hal-00695233v1
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Braided Objects: Unifying Algebraic Structures and Categorifying Virtual Braids

Victoria Lebed
Category Theory [math.CT]. Université Paris-Diderot - Paris VII, 2012. English. ⟨NNT : ⟩
Theses tel-00775857v1
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Symplectic homology and the Eilenberg–Steenrod axioms

Kai Cieliebak , Alexandru Oancea
Algebraic and Geometric Topology, 2018, 18 (4), pp.1953-2130. ⟨10.2140/agt.2018.18.1953⟩
Journal articles hal-01962307v1
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A Functorial Excursion Between Algebraic Geometry and Linear Logic

Paul-André Melliès
LICS 2022 - 37th Annual ACM/IEEE Symposium on Logic in Computer Science, Aug 2022, Haifa, Israel. ⟨10.1145/3531130.3532488⟩
Conference papers hal-03874304v1
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Invariants of Morse complexes, persistent homology and data analysis

Serguei Barannikov
Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences, Mar 2019, Moscow, Russia. ⟨10.13140/RG.2.2.14363.31528⟩
Conference papers hal-02062497v1
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Weierstrass Fractal Drums -II Towards a Fractal Cohomology

Claire David , Michel L Lapidus
2022
Preprints, Working Papers, ... hal-03758820v3
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Monoid-like definitions of cyclic operad

Jovana Obradovic
Theory and Applications of Categories, 2017
Journal articles hal-01987321v1

Cubes, homotopy and process algebra

Philippe Gaucher
Algebraic Topological Methods in Computer Science 2008, Jul 2008, Paris, France
Conference papers hal-00695053v1
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Representation Topology Divergence: A Method for Comparing Neural Network Representations

Serguei Barannikov , Ilya Trofimov , Nikita Balabin , Evgeny Burnaev
Proceedings of Machine Learning Research, 2022, Proceedings of the 39th International Conference on Machine Learning (ICML 2022), 162, pp.1607-1626
Journal articles hal-03821864v1
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Arbres couvrants minimums aléatoires inhomogènes, propriétés et limite

Othmane Safsafi
Topologie algébrique [math.AT]. Sorbonne Université, 2021. Français. ⟨NNT : 2021SORUS201⟩
Theses tel-03457422v1