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We study some classical integrable systems naturally associated with multiplicative quiver varieties for the (extended) cyclic quiver with $m$ vertices.
Kazhdan, D., Kostant, B., Sternberg, S.: Hamiltonian group actions and dynamical systems of Calogero type
1978
Earlier work this paper cites.
1983
Earlier work this paper cites.
Ruijsenaars, S.N.M., Schneider, H.: A new class of integrable systems and its relation to solitons
1986
Earlier work this paper cites.
Ruijsenaars, S.N.M.: Action-angle maps and scattering theory for some finite-dimensional integrable systems I. The pure soliton case
1988
Earlier work this paper cites.
Nakajima, H.: Instantons on ALE spaces, quiver varieties, and Kac–Moody algebras
1994
Earlier work this paper cites.
Gorsky, A., Nekrasov, N.: Relativistic Calogero-Moser model as gauged WZW theory
1995
Earlier work this paper cites.
van Diejen, J.F.: Difference Calogero-Moser systems and finite Toda chains
1995
Earlier work this paper cites.
Baker, T., Forrester, P.: A q q -analogue of the type A A Dunkl operator and integral kernel
1997
Earlier work this paper cites.
Krichever, I.M., Phong, D.H.: On the integrable geometry of soliton equations and N=2 supersymmetric gauge theories
1997
Earlier work this paper cites.
Alekseev, A., Malkin, A., Meinrenken, E.: Lie group valued moment maps
1998
Earlier work this paper cites.
Wilson, G.: Collisions of Calogero-Moser particles and an adelic Grassmannian (With an appendix by I. G. Macdonald)
1998
Earlier work this paper cites.
Chalykh, O., Nijhoff, F.: Bispectral rings of difference operators
1999
Earlier work this paper cites.
Crawley-Boevey, W.: Preprojective algebras, differential operators and a Conze embedding for deformations of Kleinian singularities
1999
Earlier work this paper cites.
Fock, V., Rosly, A.: Poisson structure on moduli of flat connections on Riemann surfaces and the r r -matrix
1999
Earlier work this paper cites.
Nekrasov, N.: Infinite-dimensional algebras, many-body systems and gauge theories
1999
Earlier work this paper cites.
Berest, Yu., Wilson, G.: Automorphisms and ideals of the Weyl algebra
2000
Earlier work this paper cites.
Calogero, F., Françoise, J.-P.: Solution of Certain Integrable Dynamical Systems of Ruijsenaars-Schneider Type with Completely Periodic Trajectories
2000
Cited alongside, same era.
Fock, V., Gorsky, A., Nekrasov, N., Rubtsov, V.: Duality in integrable systems and gauge theories
2000
Cited alongside, same era.
Iliev, P.: q q -KP hierarchy, bispectrality and Calogero-Moser systems
2000
Cited alongside, same era.
Krichever, I.M.: Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations
2000
Cited alongside, same era.
Kapustin, A., Kuznetsov, A., Orlov, D.: Noncommutative instantons and twistor transform
2001
Cited alongside, same era.
Alekseev, A., Kosmann-Schwarzbach, Y., Meinrenken, E.: Quasi-Poisson manifolds
Etingof, P.: Calogero-Moser systems and representation theory
2007
Later among the works it cites.
Krichever, I.M., Sheinman, O.K.: Lax operator algebras
2007
Later among the works it cites.
2008
Later among the works it cites.
Van den Bergh, M.: Double Poisson algebras
2008
Later among the works it cites.
Van den Bergh, M.: Non-commutative quasi-Hamiltonian spaces
2008
Later among the works it cites.
Yamakawa, D.: Geometry of multiplicative preprojective algebra
2008
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2002
Cited alongside, same era.
Berest, Yu., Wilson, G.: Ideal classes of the Weyl algebra and noncommutative projective geometry (With an appendix by Michel Van den Bergh)
2002
Cited alongside, same era.
Baranovsky, V., Ginzburg, V., Kuznetsov, A.: Quiver varieties and a noncommutative ℙ 2 \mathbb{P}^{2}
2002
Cited alongside, same era.
Chalykh, O.: Macdonald polynomials and algebraic integrability
2002
Cited alongside, same era.
Krichever, I.M.: Vector bundles and Lax equations on algebraic curves
2002
Cited alongside, same era.
Baranovsky, V., Ginzburg, V., Kuznetsov, A.: Wilson’s Grassmannian and a noncommutative quadric
2003
Cited alongside, same era.
Oblomkov, A.: Double affine Hecke algebras and Calogero-Moser spaces
2004
Cited alongside, same era.
Later among the works it cites.
Fehér, L., Klimčík, C.: Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction
2009
Later among the works it cites.
Bielawski, R., Pidstrygach, V.: On the symplectic structure of instanton moduli spaces
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Later among the works it cites.
Berest, Yu., Ramadoss, A., Tang, X.: The Picard group of a noncommutative algebraic torus
2013
Later among the works it cites.
2013
Later among the works it cites.
Marshall, I.: A new model in the Calogero-Ruijsenaars family
2015
Later among the works it cites.
2016
Later among the works it cites.