Results 11 to 20 of about 261,915 (134)
Einstein Metrics on Bundles over Hyperkähler Manifolds [PDF]
Communications in Mathematical Physics, 2021 We construct explicit examples of quaternion-Kähler and hypercomplex structures on bundles over hyperKähler manifolds. We study the infinitesimal symmetries of these examples and the associated Galicki–Lawson quaternion-Kähler moment map.
Udhav Fowdar
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Topological Bounds on Hyperkähler Manifolds [PDF]
Experimental Mathematics, 2021 We conjecture that certain curvature invariants of compact hyperkähler manifolds are positive/negative. We prove the conjecture in complex dimension four, give an “experimental proof” in higher dimensions, and verify it for all known hyperkähler ...
Justin Sawon
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Calibrated geometry in hyperkähler cones, 3-Sasakian manifolds, and twistor spaces [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2023 We systematically study calibrated geometry in hyperkähler cones $C^{4n+4}$ , their 3-Sasakian links $M^{4n+3}$ , and the corresponding twistor spaces $Z^{4n+2}$ , emphasizing the relationships between submanifold geometries in various spaces.
Benjamin Aslan +2 more
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Stratification of singular hyperkähler quotients
Complex Manifolds, 2022 Hyperkähler quotients by non-free actions are typically singular, but are nevertheless partitioned into smooth hyperkähler manifolds. We show that these partitions are topological stratifications, in a strong sense.
Mayrand Maxence
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On Degenerate 3-(α, δ)-Sasakian Manifolds
Complex Manifolds, 2022 We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver +2 more
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P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds
Forum of Mathematics, Sigma, 2021 We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact hyper-Kähler manifolds.
Andrew Harder +3 more
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Transverse Kähler holonomy in Sasaki Geometry and S-Stability
Complex Manifolds, 2021 We study the transverse Kähler holonomy groups on Sasaki manifolds (M, S) and their stability properties under transverse holomorphic deformations of the characteristic foliation by the Reeb vector field. In particular, we prove that when the first Betti
Boyer Charles P. +2 more
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Positivity of Riemann–Roch polynomials and Todd classes of hyperkähler manifolds [PDF]
Journal of Algebraic Geometry, 2020 For a hyperkähler manifold X X of dimension 2 n 2n , Huybrechts showed that there are constants a 0 a_0 , a 2 a_2 , …,
Chen Jiang
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Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2436-2490, December 2023., 2023 Abstract Let X$X$ be a smooth, separated, geometrically connected scheme defined over a number field K$K$ and {ρλ:π1(X)→GLn(Eλ)}λ$\lbrace \rho _\lambda :\pi _1(X)\rightarrow \mathrm{GL}_n(E_\lambda )\rbrace _\lambda$ a system of semisimple λ$\lambda$‐adic representations of the étale fundamental group of X$X$ such that for each closed point x$x$ of X$X$
Chun Yin Hui
wiley +1 more source
Twisted cotangent bundle of Hyperkähler manifolds (with an appendix by Simone Diverio)
Journal de l'École polytechnique. Mathématiques, 2021 — Let X be a Hyperkähler manifold, and let H be an ample divisor on X. We give a lower bound in terms of the Beauville–Bogomolov–Fujiki form q(H) for the pseudoeffectivity of the twisted cotangent bundle ΩX ⊗H.
F. Anella, A. Höring
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