Results 1 to 10 of about 261,915 (134)
Non-toric cones and Chern-Simons quivers [PDF]
Journal of High Energy Physics, 2017 We obtain an integral formula for the volume of non-toric tri-Sasaki Einstein manifolds arising from nonabelian hyperkähler quotients. The derivation is based on equivariant localization and generalizes existing formulas for Abelian quotients, which lead
P. Marcos Crichigno, Dharmesh Jain
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On Symplectic Birational Self-Maps of Projective Hyperkähler Manifolds of K3[n]-Type [PDF]
International mathematics research notices, 2022 We prove that projective hyperkähler manifolds of K3$^{[n]}$-type admitting a non-trivial symplectic birational self-map of finite order are isomorphic to moduli spaces of stable (twisted) coherent sheaves on K3 surfaces.
Yajnaseni Dutta +2 more
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Towards generic base-point-freeness for hyperkähler manifolds of generalized Kummer type
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 2022 We study base-point-freeness for big and nef line bundles on hyperkähler manifolds of generalized Kummer type: For $$n\in \{2,3,4\}$$ n ∈ { 2 , 3 , 4 } , we show that, generically in all but a finite number of irreducible components of the moduli space ...
Mauro Varesco
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Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms [PDF]
Épijournal de Géométrie AlgébriqueTerminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes of K3 surfaces or of generalized Kummer varieties, by finite groups of ...
Valeria Bertini +3 more
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Instantons, Monopoles and Toric HyperKähler Manifolds [PDF]
, 2000 In this paper, the metric on the moduli space of the k=1 SU(n) periodic instanton -or caloron- with arbitrary gauge holonomy at spatial infinity is explicitly constructed. The metric is toric hyperKaehler and of the form conjectured by Lee and Yi.
Thomas C. Kraan
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Basic Remarks on Lagrangian Submanifolds of Hyperkähler Manifolds [PDF]
International mathematics research noticesThis note presents basic restrictions on the topology of Lagrangian surfaces of hyper-Kähler $4$-folds and a remark on the interaction of a Lagrangian subvariety of a hyper-Kähler variety with a Lagrangian fibration of the latter.
René Mboro
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A characterization of compact locally conformally hyperkähler manifolds [PDF]
Annali di Matematica Pura ed Applicata, 2019 We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of the existence of a non-degenerate complex two-form with natural properties.
Liviu Ornea, Alexandra Otiman
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Superconformal Symmetry and HyperKähler Manifolds with Torsion [PDF]
, 2003 The geometry arising from Michelson & Strominger's study of N=4B supersymmetric quantum mechanics with superconformal D(2,1;alpha)-symmetry is a hyperKaehler manifold with torsion (HKT) together with a special homothety.
Yat Sun Poon, Andrew Swann
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On the Alesker-Verbitsky Conjecture on HyperKähler Manifolds [PDF]
Geometric and Functional Analysis, 2021 We solve the quaternionic Monge–Ampère equation on hyperKähler manifolds. In this way we prove the ansatz for the conjecture raised by Alesker and Verbitsky claiming that this equation should be solvable on any hyperKähler with torsion manifold, at least
S. Dinew, Marcin Sroka
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On the Image of the Period Map for Polarized Hyperkähler Manifolds [PDF]
International mathematics research notices, 2021 The moduli space for polarized hyperkähler manifolds of ${\textrm {K3}^{[m]}}$-type or ${\textrm {Kum}}_m$-type with a given polarization type is not necessarily connected, which is a phenomenon that only happens for $m$ large.
Jieao Song
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