Relevant bibliographies by topics / Calogero-Moser spaces

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Calogero-Moser spaces'

Author: Grafiati
Published: 5 October 2024
Last updated: 31 July 2025

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Journal articles on the topic "Calogero-Moser spaces"

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Bellamy, Gwyn. "On singular Calogero-Moser spaces." Bulletin of the London Mathematical Society 41, no. 2 (2009): 315–26. http://dx.doi.org/10.1112/blms/bdp019.

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BEREST, YURI, ALIMJON ESHMATOV, and FARKHOD ESHMATOV. "MULTITRANSITIVITY OF CALOGERO-MOSER SPACES." Transformation Groups 21, no. 1 (2015): 35–50. http://dx.doi.org/10.1007/s00031-015-9332-y.

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Ben-Zvi, David, and Thomas Nevins. "Perverse bundles and Calogero–Moser spaces." Compositio Mathematica 144, no. 6 (2008): 1403–28. http://dx.doi.org/10.1112/s0010437x0800359x.

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AbstractWe present a simple description of moduli spaces of torsion-free 𝒟-modules (𝒟-bundles) on general smooth complex curves, generalizing the identification of the space of ideals in the Weyl algebra with Calogero–Moser quiver varieties. Namely, we show that the moduli of 𝒟-bundles form twisted cotangent bundles to moduli of torsion sheaves on X, answering a question of Ginzburg. The corresponding (untwisted) cotangent bundles are identified with moduli of perverse vector bundles on T*X, which contain as open subsets the moduli of framed torsion-free sheaves (the Hilbert schemes T*X[n] in
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Berest, Yuri. "Calogero–Moser spaces over algebraic curves." Selecta Mathematica 14, no. 3-4 (2009): 373–96. http://dx.doi.org/10.1007/s00029-009-0518-9.

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5

Kuyumzhiyan, Karine. "Infinite transitivity for Calogero-Moser spaces." Proceedings of the American Mathematical Society 148, no. 9 (2020): 3723–31. http://dx.doi.org/10.1090/proc/15030.

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Bellamy, Gwyn. "Factorization in generalized Calogero–Moser spaces." Journal of Algebra 321, no. 1 (2009): 338–44. http://dx.doi.org/10.1016/j.jalgebra.2008.09.015.

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7

Andrist, Rafael. "The density property for Calogero–Moser spaces." Proceedings of the American Mathematical Society 149, no. 10 (2021): 4207–18. http://dx.doi.org/10.1090/proc/15457.

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We prove the algebraic density property for the Calogero–Moser spaces C n {\mathcal {C}_{n}} , and give a description of the identity component of the group of holomorphic automorphisms of C n {\mathcal {C}_{n}} .
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HAINE, LUC, EMIL HOROZOV, and PLAMEN ILIEV. "TRIGONOMETRIC DARBOUX TRANSFORMATIONS AND CALOGERO–MOSER MATRICES." Glasgow Mathematical Journal 51, A (2009): 95–106. http://dx.doi.org/10.1017/s0017089508004813.

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AbstractWe characterize in terms of Darboux transformations the spaces in the Segal–Wilson rational Grassmannian, which lead to commutative rings of differential operators having coefficients which are rational functions of ex. The resulting subgrassmannian is parametrized in terms of trigonometric Calogero–Moser matrices.
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Oblomkov, Alexei. "Double affine Hecke algebras and Calogero-Moser spaces." Representation Theory of the American Mathematical Society 8, no. 10 (2004): 243–66. http://dx.doi.org/10.1090/s1088-4165-04-00246-8.

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10

Horozov, Emil. "Calogero-Moser spaces and an adelic $W$-algebra." Annales de l’institut Fourier 55, no. 6 (2005): 2069–90. http://dx.doi.org/10.5802/aif.2152.

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Dissertations / Theses on the topic "Calogero-Moser spaces"

1

Bellamy, Gwyn. "Generalized Calogero-Moser spaces and rational Cherednik algebras." Thesis, University of Edinburgh, 2010. http://hdl.handle.net/1842/4733.

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The subject of this thesis is the interplay between the geometry and the representation theory of rational Cherednik algebras at t = 0. Exploiting this relationship, we use representation theoretic techniques to classify all complex re ection groups for which the geometric space associated to a rational Cherednik algebra, the generalized Calogero-Moser space, is singular. Applying results of Ginzburg-Kaledin and Namikawa, this classification allows us to deduce a (nearly complete) classification of those symplectic reflection groups for which there exist crepant resolutions of the correspondin
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Möller, Gunnar. "Dynamically reduced spaces in condensed matter physics : quantum Hall bilayers, dimensional reduction and magnetic spin systems." Paris 11, 2006. http://www.theses.fr/2006PA112131.

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Pour la description des propriétés de basse température des systèmes en physique de la matière condensée, il est souvent utile de travailler avec un espace dynamique réduit. Cette philosophie s'applique aux systèmes bicouches à effet Hall quantique comme aux systèmes d'anyons et aux systèmes magnétiques frustrés qui représentent les exemples discutés dans cette thèse. On introduit une classe générale d'états appariés de fermions composites. Ces fonctions d'onde sont exploitées pour analyser l'état fondamental des systèmes bicouches à effet Hall au facteur de remplissage total un. A partir d'un
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3

Paegelow, Raphaël. "Action des sous-groupes finis de SL2(C) sur la variété de carquois de Nakajima du carquois de Jordan et fibrés de Procesi." Electronic Thesis or Diss., Université de Montpellier (2022-....), 2024. http://www.theses.fr/2024UMONS005.

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Dans cette thèse de doctorat, nous avons, dans un premier temps, étudié la décomposition en composantes irréductibles du lieu des points fixes sous l’action d’un sous-groupe fini Γ de SL2(C) de la variété de carquois de Nakajima du carquois de Jordan. La variété de carquois associé au carquois de Jordan est isomorphe soit au schéma ponctuel de Hilbert dans C2 soit à l’espace de Calogero-Moser. Nous avons décrit ces composantes irréductibles à l’aide de variétés de carquois du carquois de McKay associé au sous-groupe fini Γ. Nous nous sommes ensuite intéressés à la combinatoire découlant de l’e
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Badreddine, Rana. "On a DNLS equation related to the Calogero-Sutherland-Moser Hamiltonian system." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM008.

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Il s'agit d'étudier une EDP obtenue par A. Abanov et al (J. Phys. A, 2009) à partir de la limite hydrodynamique du système hamiltonien de Calogero-Sutherland-Moser. On obtient ainsi une équation intégrable de type Schrödinger non linéaire sur l'espace de Hardy qui se trouve posséder une paire de Lax sur la droite et sur le cercle. Le but de cette thèse est d'utiliser la structure d'intégrabilité afin d'établir que l'équation est globalement bien-posée sur le cercle en allant jusqu'à l'espace de régularité critique. En second lieu, on s'intéresse à l'existence de solutions particulières sur le
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Book chapters on the topic "Calogero-Moser spaces"

1

Heckman, Gerrit, and Henrik Schlicktkrull. "The periodic Calogero-Moser system." In Harmonic Analysis and Special Functions on Symmetric Spaces. Elsevier, 1995. http://dx.doi.org/10.1016/b978-012336170-7/50003-4.

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Journal articles
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