Results 81 to 90 of about 62,341 (171)

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

Inconsistency of point-particle dynamics on higher-spin backgrounds

Journal of High Energy Physics
We use the light-cone gauge formalism to study interactions of point particles with massless higher-spin fields. By analysing the light-cone consistency conditions at the subleading order in higher-spin fields, we find that no local interactions of point
Vyacheslav Ivanovskiy, Dmitry Ponomarev
doaj   +1 more source

Geometric Optimal Transport for Cross-Modal Medical Manifold Alignment: A Differential Approach to Multimodal Diagnosis

IEEE Access
We present a novel theoretical framework for multimodal medical diagnosis that formulates heterogeneous data integration as a problem of aligning Riemannian manifolds through differential geometric principles.
Yuan Shen
doaj   +1 more source

Optimization of Manifold Learning Using Differential Geometry for 3D Reconstruction in Computer Vision

Mathematics
Manifold learning is a significant computer vision task used to describe high-dimensional visual data in lower-dimensional manifolds without sacrificing the intrinsic structural properties required for 3D reconstruction. Isomap, Locally Linear Embedding (
Yawen Wang
doaj   +1 more source

Two lectures on local riemannian geometry, $Spin^{\C}$ - structures and Seiberg - Witten equation

, 2003
In the present text we discuss basic aspects of the Seiberg - Witten theory mainly focusing the attantion on some geometrical details which could make the introduction to the subject more illustrative. At the same time we list there natural problems arise in this framework mostly interesting to the author.
openaire   +2 more sources

Pedestrian dynamics modeling and social force analysis based on object detection

Frontiers in Physics
IntroductionObject detection is a fundamental component of modern computational applications, playing a crucial role in pedestrian analysis, autonomous navigation, and crowd monitoring. Despite its widespread utility, pedestrian-oriented object detection
Fangyan Yang, Rong Liu, Daoyu Zhu
doaj   +1 more source

Hilbert Bundles and Holographic Space–Time Models

Astronomy
We reformulate holographic space–time models in terms of Hilbert bundles over the space of the time-like geodesics in a Lorentzian manifold. This reformulation resolves the issue of the action of non-compact isometry groups on finite-dimensional Hilbert ...
Tom Banks
doaj   +1 more source

Hamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics

Entropy
The common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures.
Stavros C. Farantos
doaj   +1 more source

On the class of pseudo-Riemannian geometries which can not be locally described using curvature scalars solely

, 2014
A classic problem with intriguing implications at the level of both applied differential geometry and theoretical physics is dealt with in this short work: Is there any criterion in order to decide whether a pseudo-Riemannian space can be locally described using curvature scalars solely?
openaire   +2 more sources

Geometry of Warped Product Semi-Invariant Submanifolds of a Locally Riemannian Product Manifold

, 2009
2000 Mathematics Subject Classification: 53C42, 53C15. In this article, we have studied warped product semi-invariant submanifolds in a locally Riemannian product manifold and introduced the notions of a warped product semi-invariant submanifold.
openaire   +1 more source