Results 51 to 60 of about 971 (194)
Hilbert's Basis Theorem for Poisson Ore Extensions
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck +3 more
wiley +1 more source
Non-Commutative Geometry & Physics
22 pages, 1 figure, seminar talks given at the Universities Ivano-Frankivsk and Kamenets-Podolsk (Ukraine)
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Hyperbolic Rotations With Hybrid Numbers
ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk +2 more
wiley +1 more source
Monopoles and dyons in non-commutative geometry [PDF]
Taking advantage of the equivalence between supersymmetric Yang-Mills theory on non-commutative spaces and the field theory limit of D3-branes in the background of NSNS 2-form field, we investigate the static properties of magnetic monopoles and dyons using brane construction techniques.
Hashimoto, Akikazu, Hashimoto, Koji
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Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev +14 more
wiley +1 more source
BRS symmetry in Connes' non-commutative geometry [PDF]
28 pages, To appear in the Journal of Physics ...
Hanlon, B. E., Joshi, G. C.
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Establishing Shape Correspondences: A Survey
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
On Spatial Point Processes With Composition‐Valued Marks
Summary Methods for marked spatial point processes with scalar marks have seen extensive development in recent years. While the impressive progress in data collection and storage capacities has yielded an immense increase in spatial point process data with highly challenging non‐scalar marks, methods for their analysis are not equally well developed ...
Matthias Eckardt +2 more
wiley +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source

