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Differential algebra (contravariant analytic methods in differential geometry) [PDF]

Journal of Soviet Mathematics, 1980
The problems of developing the apparatus of differential-geometric investigations based on the calculus of differential operators on bundles of semiholonomic jets of Ehresmann are considered.
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Mirror symmetry and algebraic geometry

, 1999
Introduction The quintic threefold Toric geometry Mirror symmetry constructions Hodge theory and Yukawa couplings Moduli spaces Gromov-Witten invariants Quantum cohomology Localization Quantum differential equations The mirror theorem Conclusion Singular
David A. Cox, S. Katz
semanticscholar   +1 more source

Differential Geometry of Quantum States, Observables and Evolution

Quantum Physics and Geometry, 2019
The geometrical description of Quantum Mechanics is reviewed and proposed as an alternative picture to the standard ones. The basic notions of observables, states, evolution and composition of systems are analysed from this perspective, the relevant ...
Florio M. Ciaglia, Alberto Ibort, G. Marmo   +2 more
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Multiview Differential Geometry of Curves

International Journal of Computer Vision, 2016
The field of multiple view geometry has seen tremendous progress in reconstruction and calibration due to methods for extracting reliable point features and key developments in projective geometry.
R. Fabbri, B. Kimia
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The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve y=xn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \set

Mathematical physics, analysis and geometry, 2023
J. Llibre, C. Valls
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Noncommutative geometry with graded differential Lie algebras

Journal of Mathematical Physics, 1997
Starting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the Connes–Lott prescription of noncommutative geometry, differs from that, however, by the implementation of unitary
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Current Algebras, the Sugawara Model, and Differential Geometry

Journal of Mathematical Physics, 1970
The Lie algebra defined by the currents in the Sugawara model is defined in a way that is natural from the point of view of Lie transformation theory and differential geometry. Previous remarks that the Sugawara model is associated with a field-theoretical dynamical system on a Lie group manifold are made more precise and presented in a differential ...
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Geometry of Differential Polynomial Functions, I: Algebraic Groups

American Journal of Mathematics, 1993
Introduction The present paper is a direct continuation of [B5]; we shall freely borrow terminology and notations from that paper which shall be referred to from now on as Part I. However understanding the Introduction of the present paper only requires familiarity with the Introduction and first Appendix of Part I.
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A Differential–Algebraic Projective Framework for the Deformable Single-View Geometry of the 1D Perspective Camera

Journal of Mathematical Imaging and Vision, 2019
A. Bartoli
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Riemann Surfaces and Algebraic Curves

Topological, Differential and Conformal Geometry of Surfaces, 2021
N. A'campo
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