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Littérature scientifique sur le sujet « Monodromy representation »

Auteur : Grafiati

Publié le 2 juin 2025

Mis à jour le 31 juillet 2025

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Articles de revues sur le sujet "Monodromy representation"

IMAYOSHI, YOICHI, MANABU ITO, and HIROSHI YAMAMOTO. "A REDUCIBILITY PROBLEM FOR MONODROMY OF SOME SURFACE BUNDLES." Journal of Knot Theory and Its Ramifications 13, no. 05 (2004): 597–616. http://dx.doi.org/10.1142/s0218216504003330.

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A surface bundle determines a monodromy representation recording the twisting of the fiber under transport around a closed path in the base space. The fascinating relation between these monodromy representations and the Thurston classification of surface automorphisms will be studied. In this note we deal with a simple and interesting case: the fibrations of Fadell and Neuwirth.

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GIORGADZE, G. "MONODROMY APPROACH TO QUANTUM COMPUTING." International Journal of Modern Physics B 16, no. 30 (2002): 4593–605. http://dx.doi.org/10.1142/s0217979202014607.

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In this work, a gauge approach to quantum computing is considered. It is assumed that there exists a classical procedure for placing certain classical system in a state described by a holomorphic vector bundle with connection with logarithmic singularities. This bundle and its connection are constructed with the aid of unitary operators realizing the given algorithm using methods of the monodromic Riemann–Hilbert problem. Universality is understood in the sense that for any collection of unitary matrices there exists a connection with logarithmic singularities whose monodromy representation in

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LAWRENCE, R. J. "A TOPOLOGICAL APPROACH TO REPRESENTATIONS OF THE IWAHORI-HECKE ALGEBRA." International Journal of Modern Physics A 05, no. 16 (1990): 3213–19. http://dx.doi.org/10.1142/s0217751x90002178.

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In this paper a topological construction of representations of the [Formula: see text]-series of Hecke algebras, associated with 2-row Young diagrams, will be announced. This construction gives the representations in terms of the monodromy representation obtained from a vector bundle over the configuration space of η points in the complex plane. The fibres are homology spaces of configuration spaces of points in a punctured complex plane, with a suitable twisted local coefficient system, and there is thus a natural flat connection on the vector bundle. It is also shown that there is a close co

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Tanabé, Susumu. "On monodromy representation of period integrals associated to an algebraic curve with bi-degree (2,2)." Analele Universitatii "Ovidius" Constanta - Seria Matematica 25, no. 1 (2017): 207–31. http://dx.doi.org/10.1515/auom-2017-0016.

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AbstractWe study a problem related to Kontsevich's homological mirror symmetry conjecture for the case of a generic curve Y with bi-degree (2,2) in a product of projective lines ℙ1× ℙ1. We calculate two differenent monodromy representations of period integrals for the affine variety X(2,2)obtained by the dual polyhedron mirror variety construction from Y. The first method that gives a full representation of the fundamental group of the complement to singular loci relies on the generalised Picard-Lefschetz theorem. The second method uses the analytic continuation of the Mellin-Barnes integrals

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V’yugin, I. V. "Irreducible Fuchsian system with reducible monodromy representation." Mathematical Notes 80, no. 3-4 (2006): 478–84. http://dx.doi.org/10.1007/s11006-006-0165-9.

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Goto, Yoshiaki, and Keiji Matsumoto. "The monodromy representation and twisted period relations for Appell’s hypergeometric function F 4." Nagoya Mathematical Journal 217 (March 2015): 61–94. http://dx.doi.org/10.1017/s0027763000026957.

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AbstractWe consider the systemF4(a, b, c)of differential equations annihilating Appell's hypergeometric seriesF4(a,b,c;x). We find the integral representations for four linearly independent solutions expressed by the hypergeometric seriesF4. By using the intersection forms of twisted (co)homology groups associated with them, we provide the monodromy representation ofF4(a, b, c)and the twisted period relations for the fundamental systems of solutions ofF4.

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Vyugin, Il'ya Vladimirovich, and Lada Andreevna Dudnikova. "Stable vector bundles and the Riemann-Hilbert problem on a Riemann surface." Sbornik: Mathematics 215, no. 2 (2024): 141–56. http://dx.doi.org/10.4213/sm9781e.

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The paper is devoted to holomorphic vector bundles with logarithmic connections on a compact Riemann surface and the applications of the results obtained to the question of solvability of the Riemann-Hilbert problem on a Riemann surface. We give an example of a representation of the fundamental group of a Riemann surface with four punctured points which cannot be realized as the monodromy representation of a logarithmic connection with four singular points on a semistable bundle. For an arbitrary pair of a bundle and a logarithmic connection on it we prove an estimate for the slopes of the ass

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Goto, Yoshiaki, and Keiji Matsumoto. "The monodromy representation and twisted period relations for Appell’s hypergeometric function F4." Nagoya Mathematical Journal 217 (March 2015): 61–94. http://dx.doi.org/10.1215/00277630-2873714.

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AbstractWe consider the system F4 (a, b, c) of differential equations annihilating Appell's hypergeometric series F4(a,b,c;x). We find the integral representations for four linearly independent solutions expressed by the hypergeometric series F4. By using the intersection forms of twisted (co)homology groups associated with them, we provide the monodromy representation of F4(a, b, c) and the twisted period relations for the fundamental systems of solutions of F4.

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GOTO, Yoshiaki, and Keiji MATSUMOTO. "Irreducibility of the monodromy representation of Lauricella's $F_C$." Hokkaido Mathematical Journal 48, no. 3 (2019): 489–512. http://dx.doi.org/10.14492/hokmj/1573722015.

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Shimizu, Koji. "A -adic monodromy theorem for de Rham local systems." Compositio Mathematica 158, no. 12 (2022): 2157–205. http://dx.doi.org/10.1112/s0010437x2200776x.

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We study horizontal semistable and horizontal de Rham representations of the absolute Galois group of a certain smooth affinoid over a $p$ -adic field. In particular, we prove that a horizontal de Rham representation becomes horizontal semistable after a finite extension of the base field. As an application, we show that every de Rham local system on a smooth rigid analytic variety becomes horizontal semistable étale locally around every classical point. We also discuss potentially crystalline loci of de Rham local systems and cohomologically potentially good reduction loci of smooth proper mo

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Thèses sur le sujet "Monodromy representation"

Vercheval, Nicolas. "The Representation of Symmetric Groups in Two-Dimensional Persistent Homology." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13545/.

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The two dimensional persistent homology, that can be reduced to the homology of a family of parameterized real functions, can be found to have some issues due to a phenomenon of monodromy, which happens when a loop in the parameters' space doesn't translate into loops of the elements of the persistent diagram. Instead they switch place between them in a functorial way. In this paper we present a formalisation of this functor and we will make an use of it, representing an arbitrary symmetric group by means of a suitable filtering function.

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Iijima, Yu. "Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199078.

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Gonzalez, Pagotto Pablo. "Sur les monoïdes des classes de groupes de tresses." Thesis, Université Grenoble Alpes (ComUE), 2019. http://www.theses.fr/2019GREAM049.

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Hurwitz a montre qu’un revêtement ramifié f:M→N de surfaces avec lieu de ramification P⊂N détermine et est déterminé, à un automorphisme intérieur près du groupe symétrique S_m , par un homomorphisme π_1(NP, ∗) → S_m . Ce résultat réduit les questions d’existence et d’unicité à un problème combinatoire. Pour un ensemble de générateurs convenable de π_1(NP, ∗), une représentation π_1(NP, ∗) → S_m détermine et est déterminée par une suite (a_1 , b_1 , . . . , a_g , b_g , z_1, . . . , z_k ) d’éléments de S_m satisfaisant [a_1 , b_1 ] · · · [a_g , b_g ]z_1 · · · z_k = 1. La suite (a_1, b_1 , . . .

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Kadets, Borys. "Arboreal representations, sectional monodromy groups, and abelian varieties over finite fields." Thesis, Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/126927.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, May, 2020<br>Cataloged from the official PDF of thesis.<br>Includes bibliographical references (pages 93-97).<br>This thesis consists of three independent parts. The first part studies arboreal representations of Galois groups - an arithmetic dynamics analogue of Tate modules - and proves some large image results, in particular confirming a conjecture of Odoni. Given a field K, a separable polynomial [mathematical expression], and an element [mathematical expression], the full backward orbit [mathematical express

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Kappes, André [Verfasser], and G. [Akademischer Betreuer] Weitze-Schmithüsen. "Monodromy Representations and Lyapunov Exponents of Origamis / André Kappes. Betreuer: G. Weitze-Schmithüsen." Karlsruhe : KIT-Bibliothek, 2011. http://d-nb.info/1015993648/34.

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VANDAMME, JULIETTE. "Probleme de riemann-hilbert pour une representation de monodromie triangulaire superieure." Nice, 1998. http://www.theses.fr/1998NICE5165.

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On etudie le probleme de riemann-hilbert (prh) pour une representation de monodromie triangulaire superieure de dimension 5 et 6. Le prh peut etre formule comme suit : existe-t-il un systeme fuchsien ayant des points singuliers et une representation de monodromie donnes ?. Dans le cas d'une representation de monodromie triangulaire superieure il est connu que la reponse au prh est positive en dimension 2, 3, 4 et qu'elle est negative en dimension 7. On montre que la reponse au prh depend des structures de jordan des matrices de monodromie et de leurs valeurs propres ; de plus on peut remplacer

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Saha, Jyoti Prakash. "An algebraic p-adic L-function for ordinary families." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112104/document.

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Dans cette thèse, nous construisons des fonctions L p-adique algébriques pour les familles de représentations galoisiennes attachées aux familles p-adique analytiques de représentations automorphes en utilisant le formalisme des complexes de Selmer. Ce résultat est obtenu principalement en effectuant une modification des complexes de Selmer pour s’assurer que nous traitons avec des complexes parfaits et démontrer un théorème de contrôle pour les facteurs d'Euler locaux aux places en dehors de p. Le théoréme de contrôle pour les facteurs d'Euler locaux est obtenu par l’étude de la variation de

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Berger, Laurent. "Representations p-adiques et equations differentielles." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2001. http://tel.archives-ouvertes.fr/tel-00003571.

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Dans cet article, on montre comment associer à toute représentation $p$-adique $V$, via la théorie des $(\varphi,\Gamma_K)$-modules de Fontaine, une équation différentielle $p$-adique $\mathbf(D)^(\dagger)_(\mathrm(rig))(V)$, c'est-à-dire un module à connexion sur l'anneau de Robba. Cette construction permet de faire le lien entre la théorie des $(\varphi,\Gamma_K)$-modules et la théorie de Hodge $p$-adique. On montre par exemple comment construire $\mathbf(D)_(\mathrm(cris))(V)$ et $\mathbf(D)_(\mathrm(st))(V)$ directement à partir de $\mathbf(D)^(\dagger)_(\mathrm(rig))(V)$, ce qui permet de

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Dietz, Gunnar [Verfasser]. "The braid group representation on intersection matrices and monodromy of singularities / vorgelegt von Gunnar Dietz." 2005. http://d-nb.info/993199801/34.

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Livres sur le sujet "Monodromy representation"

Castel, Fabrice. Geometric representations of the braid groups. Sociéte mathématique de France, 2016.

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Chapitres de livres sur le sujet "Monodromy representation"

Etingof, Pavel, Igor Frenkel, and Alexander Kirillov. "Monodromy of Knizhnik-Zamolodchikov equations." In Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations. American Mathematical Society, 1998. http://dx.doi.org/10.1090/surv/058/08.

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Haraoka, Yoshishige. "Monodromy Representations." In Lecture Notes in Mathematics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54663-2_13.

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Dong, Chongying, and James Lepowsky. "Monodromy representations of braid groups." In Generalized Vertex Algebras and Relative Vertex Operators. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0353-7_8.

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Gordon, Iain G., and Maurizio Martino. "Monodromy of Partial KZ Functors for Rational Cherednik Algebras." In Symmetries, Integrable Systems and Representations. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4863-0_6.

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Saito, Takeshi. "Weight-Monodromy Conjecture for ℓ-Adic Representations Associated to Modular Forms." In The Arithmetic and Geometry of Algebraic Cycles. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4098-0_15.

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"Monodromy." In Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789812798237_0008.

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Chekhov, Leonid, Marta Mazzocco, and Vladimir Rubtsov. "Algebras of Quantum Monodromy Data and Character Varieties." In Geometry and Physics: Volume I. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802013.003.0003.

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"Cycles of integrals and the monodromy of the KZ equation." In Special Functions, KZ Type Equations, and Representation Theory. American Mathematical Society, 2003. http://dx.doi.org/10.1090/cbms/098/02.

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Katz, Nicholas M. "The Situation over ℤ: Questions." In Convolution and Equidistribution. Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691153308.003.0030.

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This chapter considers that there is another sense in which we might ask about “situations over ℤ,” namely we might try to mimic the setting of a theorem of Pink [Ka-ESDE, 8.18.2] about how “usual” (geometric) monodromy groups vary in a family. For each geometric point s in a normal noetherian connected scheme S, we have the closed subgroup Γ‎(s) ⊂ GL(n,ℚℓ¯) which is the image of π‎₁(Xₛ; xₛ) in the representation corresponding to Ƒₛ. The assertion is that these groups Γ‎(s) are, up to GL(n)-conjugacy, constant on a dense open set of S, and that they decrease under specialization. This chapter

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"Representations of reductive groups containing elements with special spectra." In Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups. Princeton University Press, 2025. https://doi.org/10.2307/jj.23514757.6.

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Actes de conférences sur le sujet "Monodromy representation"

GIORGADZE, G. K. "DENSITY PROBLEM OF MONODROMY REPRESENTATION OF FUCHSIAN SYSTEMS." In Proceedings of the 6th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837332_0029.

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Kiss, Adam K., Daniel Bachrathy, and Gabor Stepan. "Experimental Determination of Dominant Multipliers in Milling Process by Means of Homogeneous Coordinate Transformation." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67827.

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In this contribution, a chatter detection method is investigated for milling operations. The proposed approach can give not only qualitative condition (stable or unstable), but a quantitative measure of stability. For this purpose, it requires an external excitation of stable machining condition. Transient vibration of the perturbation is captured by means of stroboscopic section, and the corresponding monodromy operator is approximated by its projection to the subspace of the dominant modes. The monodromy matrix is determined with the application of homogeneous coordinate representation. Then

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Kniffka, Till J., and Horst Ecker. "Observations Regarding Numerical Results Obtained by the Floquet-Method." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13292.

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Stability studies of parametrically excited systems are frequently carried out by numerical methods. Especially for LTP-systems, several such methods are known and in practical use. This study investigates and compares two methods that are both based on Floquet’s theorem. As an introductary benchmark problem a 1-dof system is employed, which is basically a mechanical representation of the damped Mathieu-equation. The second problem to be studied in this contribution is a time-periodic 2-dof vibrational system. The system equations are transformed into a modal representation to facilitate the a

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Butcher, Eric A., Praveen Nindujarla, and Ed Bueler. "Stability of Up- and Down-Milling Using Chebyshev Collocation Method." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84880.

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The dynamic stability of the milling process is investigated through a single degree-of-freedom model by determining the regions where chatter (unstable) vibrations occur in the two-parameter space of spindle speed and depth of cut. Dynamic systems like milling are modeled by delay-differential equations (DDEs) with time-periodic coefficients. A new approximation technique for studying the stability properties of such systems is presented. The approach is based on the properties of Chebyshev polynomials and a collocation representation of the solution at their extremum points, the Chebyshev co

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