Results 11 to 20 of about 9,260 (251)
C*algebras and differential geometry
, 2001 Translated Comptes Rendus Note of March ...
Alain Connes
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Noncommutative differential geometry, and the matrix representations of generalised algebras [PDF]
Journal of Geometry and Physics, 1998 16 pages Latex, No figures.
Jonathan Gratus
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Current Algebra and Differential Geometry [PDF]
Journal of High Energy Physics, 2005 14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th birthday.
Anton Alekseev, Thomas Strobl
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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 ...
Harald Grosse, G. Reiter
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Algebraic geometry of the center-focus problem for Abel differential equations [PDF]
Ergodic Theory and Dynamical Systems, 2014 The Abel differential equation $y^{\prime }=p(x)y^{3}+q(x)y^{2}$ with polynomial coefficients $p,q$ is said to have a center on $[a,b]$ if all its solutions, with the initial value $y(a)$ small enough, satisfy the condition $y(a)=y(b)$.
M. Briskin, Fedor Pakovich, Yosef Yomdin
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Noncommutative differential geometry on crossed product algebras
Journal of Algebra, 2023 We provide a differential structure on arbitrary cleft extensions $B:=A^{\mathrm{co}H}\subseteq A$ for an $H$-comodule algebra $A$. This is achieved by constructing a covariant calculus on the corresponding crossed product algebra $B\#_σH$ from the data of a bicovariant calculus on the structure Hopf algebra $H$ and a calculus on the base algebra $B ...
Andrea Sciandra, Thomas Weber
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Nonsmooth differential geometry and algebras of generalized functions
Journal of Mathematical Analysis and Applications, 2004 17 pages, typos ...
Michael Kunzinger
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Differential Bundles in Commutative Algebra and Algebraic Geometry
, 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.
G. S. H. Cruttwell +1 more
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Completeness in partial differential algebraic geometry
Journal of Algebra, 2014 Abstract This paper is part of the model theory of fields of characteristic 0, equipped with m commuting derivation operators ( DCF 0 , m ). It continues to partial differential fields work begun by Wai-Yan Pong, who treated the case m = 1 .
James Freitag
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An algebraic model of transitive differential geometry [PDF]
Bulletin of the American Mathematical Society, 1964 Victor Guillemin, Shlomo Sternberg
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