Results 61 to 70 of about 1,466 (235)
Depth‐Invariant High‐Resolution Optical Coherence Tomography Angiography
Advanced Photonics Research, Volume 7, Issue 3, March 2026.Optical coherence tomography angiography (OCTA) has become an indispensable tool for visualizing and quantifying in vivo blood flow due to its motion‐contrast‐based label‐free flow detection capabilities. However, in various applications, its effectiveness is hindered by signal degradation due to scattering, absorption, and depth‐dependent defocus ...
ByungKun Lee +4 more
wiley +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Supersymmetric Quantum Theory and Non-Commutative Geometry [PDF]
Communications in Mathematical Physics, 1999 Classical differential geometry can be encoded in spectral data, such as Connes' spectral triples, involving supersymmetry algebras. In this paper, we formulate non-commutative geometry in terms of supersymmetric spectral data. This leads to generalizations of Connes' non-commutative spin geometry encompassing non-commutative Riemannian, symplectic ...
Fröhlich, J. +2 more
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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
Journal of High Energy PhysicsThis article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether’s theorem tailored for nonlocal Lagrangians.
Carlos Heredia, Josep Llosa
doaj +1 more source
Higher dimensional quantum Hall effect as A-class topological insulator
Nuclear Physics B, 2014 We perform a detail study of higher dimensional quantum Hall effects and A-class topological insulators with emphasis on their relations to non-commutative geometry.
Kazuki Hasebe
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Approximate treatment of noncommutative curvature in quartic matrix model
Journal of High Energy Physics, 2023 We study a Hermitian matrix model with the standard quartic potential amended by a tr(RΦ2) term for fixed external matrix R. This is motivated by a curvature term in the truncated Heisenberg algebra formulation of the Grosse-Wulkenhaar model — a ...
D. Prekrat +4 more
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Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, Volume 299, Issue 3, Page 514-528, March 2026.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
Quaternions and Non-Commutative Geometry [PDF]
Progress of Theoretical Physics, 1993 It is shown that the Dirac operator becomes 2 × 2 matrix acting on the space of chiral fermions in the previously-proposed quaternionic formulation of the Dirac theory. The interaction part of thus-obtained Dirac operator formally corresponds to the 2 × 2 matrix of the generalized one-form of Coquereaux et al.
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BRS symmetry in Connes' non-commutative geometry [PDF]
Journal of Physics A: Mathematical and General, 1995 28 pages, To appear in the Journal of Physics ...
Hanlon, B. E., Joshi, G. C.
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