Results 51 to 60 of about 57,089 (167)
Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
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Solving Particle–Antiparticle and Cosmological Constant Problems
AxiomsWe solve the particle-antiparticle and cosmological constant problems proceeding from quantum theory, which postulates that: various states of the system under consideration are elements of a Hilbert space H with a positive definite metric; each physical
Felix M. Lev
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Adjoints in symmetric squares of Lie algebra representations
14 pages. The $\mu = \overline{\nu}$ case of our Theorem 1.3, as well as our Theorem 1.4, already appear in the literature; we added the relevant ...
Floch, Bruno Le, Smilga, Ilia
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Dirac structures of omni-Lie algebroids
, 2011 Omni-Lie algebroids are generalizations of Alan Weinstein's omni-Lie algebras. A Dirac structure in an omni-Lie algebroid $\dev E\oplus \jet E$ is necessarily a Lie algebroid together with a representation on $E$.
Chen, Zhuo, Liu, Zhangju, Sheng, Yunhe
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Nanophotonics, Volume 15, Issue 9, 13 May 2026.Mechanically reconfigurable metasurfaces enable high‐capacity optical storage and holography due to low cost/complexity. A differentiable inverse design framework maps meta‐atom geometries to multichannel optical responses via deep neural networks. Rotatable cascaded metasurfaces optimized through this pipeline achieve pixel‐level holography with 288 ...
Ting Ma +4 more
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Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting variable, extended by evolutions of ...
Oksana Ye. Hentosh
doaj
Publications of the Research Institute for Mathematical Sciences, 1978 Let M be a smooth manifold, and ^l(M) the infinite dimensional Lie algebra of all smooth vector fields on M. Let 91 be 9l(M) or a certain natural subalgebra of it. We arc interested in the cohomology #*(9l; V) of $1 with coefficients in some representation V9 which is an invariant of the Lie algebra 21. In 1968, I. M. Gel'fand and D. B.
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Countable Basis for Free Electromagnetic Fields
Annalen der Physik, Volume 538, Issue 5, May 2026.ABSTRACT Polychromatic electromagnetic fields are expanded as integrals over monochromatic fields, such as plane waves, multipolar fields, or Bessel beams. However, monochromatic fields do not belong to the Hilbert space of free Maxwell fields, since their norms diverge.
Ivan Fernandez‐Corbaton
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Completeness and Cocompleteness Transfer for Internal Group Objects with Geometric Obstructions
MathematicsThis work establishes definitive conditions for the inheritance of categorical completeness and cocompleteness by categories of internal group objects.
Jian-Gang Tang +4 more
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Effect of Field Line Torsion on the Polarization of ULF Waves
Journal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.Abstract In this paper we suggest a simple modification of the dipole magnetic field which introduces field‐aligned currents and torsion to the field lines. The resulting field lines are not contained in the meridional planes and have resemblance to the geomagnetic field lines in the dawn and dusk flanks of the magnetosphere. We analyze polarization of
K. Kabin, A. W. Degeling, R. Rankin
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