Results 51 to 60 of about 414 (184)
Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
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Holonomy for quantum channels [PDF]
Physical Review A, 2008 Minor changes, journal reference ...
Kult, David +2 more
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On the paper “Bundle gerbes” by Michael Murray
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The article gives a brief survey of Murray's notion of bundle gerbes as introduced in his 1996 paper published in the Journal of the London Mathematical Society, together with some of its applications.
Nigel Hitchin
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Complex quaternionic manifolds and C-projective structures
Complex ManifoldsWe discuss complex quaternionic manifolds, i.e., those that have holonomy GL(n,H)U(1) $GL\left(n,\mathbb{H}\right)U\left(1\right)$ , which naturally arise via quaternionic Feix–Kaledin construction.
Borówka Aleksandra
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results
David P. Lonie, Graham S. Hall
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Ergodic Theory and Dynamical SystemsAbstractWe prove that the existence of one horosphere in the universal cover of a closed Riemannian manifold of dimension $n \geq 3$ with strongly $1/4$ -pinched or relatively $1/2$ -pinched sectional curvature, on which the stable holonomy along one horosphere coincides with the Riemannian parallel transport, implies that the manifold is ...
Besson, Gérard +2 more
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Maximal symplectic torus actions
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4132-4148, December 2025.Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
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Noncommutativity in Effective Loop Quantum Cosmology
Advances in High Energy Physics, 2019 We construct a noncommutative extension of the Loop Quantum Cosmology effective scheme for the flat FLRW model with a free scalar field via a theta deformation.
Abraham Espinoza-García +3 more
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The A-polynomial and holonomy perturbations [PDF]
Mathematical Research Letters, 2015 Dunfield-Garoufalidis and Boyer-Zhang proved that the A-polynomial of a nontrivial knot in $S^{3}$ is nontrivial. In this paper, we use holonomy perturbations to prove the non-triviality of the A-polynomial for a nontrivial, null-homotopic knot in an irreducible 3-manifold. Also, we give a strong constraint on the A-polynomial of a knot in the 3-sphere.
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