Results 11 to 20 of about 2,492,523 (198)
On The Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry [PDF]
, 2021 International audienceThis paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE ...
Boulier, François +3 more
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Poisson algebras via model theory and differential-algebraic geometry [PDF]
Journal of the European Mathematical Society, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
core +6 more sources
The Fundamental Theorem of Tropical Partial Differential Algebraic Geometry [PDF]
Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020 International audienceTropical Differential Algebraic Geometry considers difficult or even intractable problems in Differential Equations and tries to extract information on their solutions from a restricted structure of the input.
Garay-Lopez, Cristhian Emmanuel +6 more
core +5 more sources
Trends in Differential Geometry and Algebraic Topology
AxiomsWith this Editorial, we present a Special Issue of Axioms entitled “Trends in Differential Geometry and Algebraic Topology [...]
Byungdo Park
doaj +2 more sources
Algebraic Topology via Differential Geometry
, 1988 In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and
M. Karoubi, C. Leruste
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Differential Bundles in Commutative Algebra and Algebraic Geometry
Theory and Applications of Categories, 2023 In this paper, we explain how the abstract notion of a differential bundle in a tangent category provides a new way of thinking about the category of modules over a commutative ring and its opposite category. MacAdam previously showed that differential bundles in the tangent category of smooth manifolds are precisely smooth vector bundles.
Cruttwell, G. S. H. +1 more
openaire +3 more sources
Differential algebras in non-commutative geometry [PDF]
Journal of Geometry and Physics, 1995 We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra.
Kalau, W. +3 more
openaire +2 more sources
Current Algebra and Differential Geometry
Journal of High Energy Physics, 2005 14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th birthday.
Alekseev, Anton, Strobl, Thomas
openaire +3 more sources
Graded differential geometry of graded matrix algebras [PDF]
Journal of Mathematical Physics, 1999 We study the graded derivation-based noncommutative differential geometry of the Z2-graded algebra M(n|m) of complex (n+m)×(n+m)-matrices with the “usual block matrix grading” (for n≠m). Beside the (infinite-dimensional) algebra of graded forms, the graded Cartan calculus, graded symplectic structure, graded vector bundles, graded connections and ...
Grosse, H., Reiter, G.
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Tropical Grassmannians, cluster algebras and scattering amplitudes
Journal of High Energy Physics, 2020 We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians Gr(k, n). A finite cluster algebra provides a natural triangulation for the tropical Grassmannian whose
James Drummond +3 more
doaj +1 more source