Minerva group - Frobenius structures, Operads, Deformation Theory & Applications 

Head:
Noémie Combe (Email)

Phone:
+49 (0) 341 - 9959 - 775

Fax:
+49 (0) 341 - 9959 - 658

Address:
Inselstr. 22
04103 Leipzig

Publications Noémie Combe

Journal Articles

Noémie Combe and Yuri I. Manin: Genus zero modular operad and absolute Galois group
In: North-Western European journal of mathematics, 8 (2022), p. 25-60
Bibtex ARXIV: https://arxiv.org/abs/1907.10313 LINK: http://math.univ-lille1.fr/~nwejm/OnlinePapers/Archives/Archives.php
Journal Open Access

Noémie Combe ; Yuri I. Manin and Matilde Marcolli: Geometry of information : classical and quantum aspects
In: Theoretical computer science, 908 (2022), p. 2-27
Bibtex DOI: 10.1016/j.tcs.2021.10.020 ARXIV: https://arxiv.org/abs/2107.08006
Repository Open Access

Noémie Combe and Yuri I. Manin: \(F\)-manifolds and geometry of information
In: The bulletin of the London Mathematical Society, 52 (2020) 5, p. 777-792
Bibtex DOI: 10.1112/blms.12411 ARXIV: https://arxiv.org/abs/2004.08808
Journal Open Access

Noémie Combe: On Coxeter algebraic varieties : the geometry of \(CB_{n}\) quartics
In: Mathematische Semesterberichte, 66 (2019) 1, p. 73-87
Bibtex DOI: 10.1007/s00591-018-0221-z ARXIV: https://arxiv.org/abs/1701.03951
Repository Open Access

Noémie Combe: Geometric classification of real ternary octahedral quartics
In: Discrete and computational geometry, 60 (2018) 2, p. 255-282
Bibtex DOI: 10.1007/s00454-018-0002-4 ARXIV: https://arxiv.org/abs/1410.1300
Repository Open Access

Publications in Books and Conference Proceedings

Noémie Combe ; Philippe Combe and Hanna Nencka: Algebraic properties of the information geometry's fourth Frobenius manifold
In: Advances in information and communication : proceedings of the 2022 future of information and communication conference (FICC), volume 1 / Kohei Arai (ed.)
Cham : Springer, 2022. - P. 356-370
(Lecture notes in networks and systems ; 438)
Bibtex DOI: 10.1007/978-3-030-98012-2_27 ARXIV: https://arxiv.org/abs/2109.13605
Repository Open Access

Noémie Combe: At the frontiers of reality and imagination : when the brain is tricked
In: L'Op Art rencontre les neurosciences / Youri Messen-Jaschin
Lausanne : Favre, 2021. - P. 48-57
Bibtex

Noémie Combe ; Philippe Combe and Hanna Nencka: Frobenius statistical manifolds and geometric invariants
In: Geometric science of information : 5th international conference, GSI 2021, Paris, France, July 21-23, 2021, proceedings / Frank Nielsen... (eds.)
Cham : Springer, 2021. - P. 565-573
(Lecture notes in computer science ; 12829)
Bibtex MIS-Preprint: 3/2021 DOI: 10.1007/978-3-030-80209-7_61 ARXIV: https://arxiv.org/abs/2107.08446
Repository Open Access

Noémie Combe and Yuri I. Manin: Symmetries of genus zero modular operad
In: Integrability, quantization, and geometry II. : Quantum theories and algebraic geometry ; dedicated to the memory of Boris Dubrovin 1950-2019 / Sergey Novikov... (eds.)
Providence : American Mathematical Society, 2021. - P. 101-109
(Proceedings of symposia in pure mathematics ; 103.2)
Bibtex DOI: 10.1090/pspum/103.2 ARXIV: https://arxiv.org/abs/1907.10317
Repository Open Access

Noémie Combe ; Yuri I. Manin and Matilde Marcolli: Dessins for modular operads and the Grothendieck-Teichmüller group
In: Topology and geometry : a collection of essays dedicated to Vladimir G. Turaev / Athanase Papadopoulos (ed.)
Berlin : European Mathematical Society, 2021. - P. 537-560
(IRMA lectures in mathematics and theoretical physics ; 33)
Bibtex DOI: 10.4171/IRMA/33-1/24 ARXIV: https://arxiv.org/abs/2006.13663
Repository Open Access

Noémie Combe: Métamorphoses de dessins de polynomes complexes
In: Art et mathématiques : modélisations mathématiques et transformations artistiques des données du réel / Yann Toma... (eds.)
Paris : Editions Jannink, 2020. - P. 80-87
Bibtex

Preprints

Noémie Combe ; Philippe Combe and Hanna Nencka: Symplectic and Poisson geometry of the information geometry's Frobenius manifold
Repository Open Access

Noémie Combe: A note on exponential varieties, statistical manifolds and Frobenius structures
Repository Open Access

Noémie Combe ; Philippe Combe and Hanna Nencka: Pseudo-elliptic geometry of a class of Frobenius-manifolds and Maurer-Cartan structures
Repository Open Access

Noémie Combe ; Yuri I. Manin and Matilde Marcolli: Quantum operads
Repository Open Access

Noémie Combe ; Yuri I. Manin and Matilde Marcolli: Moufang patterns and geometry of information
Repository Open Access

Noémie Combe: Čech cover of the complement of the discriminant variety II : deformations of Gauss-skizze
Repository Open Access

Noémie Combe ; Yuri I. Manin and Matilde Marcolli: Birational maps and Nori motives
Repository Open Access

Noémie Combe: Gauss Skizze : operad and monodromy on semisimple Frobenius manifolds
Repository Open Access

Noémie Combe and Yuri I. Manin: Hidden symmetry of genus 0 modular operad and its stacky versions
Repository Open Access

Noémie Combe: Decomposition in Coxeter-chambers of the configuration space of d marked points on the complex plane
Repository Open Access

Noémie Combe: Čech cover of the complement of the discriminant variety I : Goresky-MacPherson stratification
Repository Open Access

Noémie Combe and Vincent Jugé: Counting bi-colored A'Campo forests
Repository Open Access

Noémie Combe: On the decomposition of a 2D-complex germ with non-isolated singularities
Repository Open Access

Academic Theses

Noémie Combe: Sur une nouvelle décomposition cellulaire de l'espace des polynomes a racines simples : application à la cohomologie des groupes de tresses
Dissertation, Universität Marseille, 2018
Bibtex LINK: https://www.theses.fr/2018AIXM0140.pdf
Repository Open Access

Noémie Combe: Etude de la connexité des surfaces algébriques réelles
Masterarbeit, Universität Genf, 2013
Bibtex

Books

Noémie Combe: Etude de la connexité des surfaces algébriques réelles
Saarbrücken : Editions universitaires européennes, 2016. - 104 p.
ISBN 978-3-8473-8971-2
Bibtex
28.06.2022, 05:46