Results 11 to 20 of about 16,698 (215)
BIGRADED DIFFERENTIAL ALGEBRA FOR VERTEX ALGEBRA COMPLEXES
Journal of Mathematical Sciences, 2023 Abstract For an infinite cochain bicomplex, we show that the orthogonality and grading conditions provide it with the structure of a bigraded differential algebra with respect to a natural multiplication of several elements bicomplex spaces. Corresponding bigraded algebra commutation relations generate a sequence of non-vanishing cohomology ...
Zuevsky, A.
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Singularities of algebraic differential equations [PDF]
Advances in Applied Mathematics, 2021 There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose an extension of the key concepts to arbitrary systems of ordinary or partial differential equations.
Markus Lange-Hegermann +3 more
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On the algebra generated by μ¯,∂¯,∂,μ\overline{\mu },\overline{\partial },\partial ,\mu
Complex Manifolds, 2023 In this note, we determine the structure of the associative algebra generated by the differential operators μ¯,∂¯,∂\overline{\mu },\overline{\partial },\partial , and μ\mu that act on complex-valued differential forms of almost complex manifolds.
Auyeung Shamuel +2 more
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Batalin-Vilkovisky formality for Chern-Simons theory
Journal of High Energy Physics, 2021 We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism ...
Ezra Getzler
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A simple construction of the Rumin algebra
Comptes Rendus. Mathématique, 2023 The Rumin algebra of a contact manifold is a contact invariant $C_\infty $-algebra of differential forms which computes the de Rham cohomology algebra.
Case, Jeffrey S.
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Differential Algebraic Equations [PDF]
, 2021 AbstractLet H be a Hilbert space and $$\nu \in \mathbb {R}$$ ν ∈ ℝ . We saw in the previous chapter how initial value problems can be formulated within the framework of evolutionary equations.
Christian Seifert +2 more
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Differential Signatures of Algebraic Curves [PDF]
SIAM Journal on Applied Algebra and Geometry, 2020 In this paper, we adapt the differential signature construction to the equivalence problem for complex plane algebraic curves under the actions of the projective group and its subgroups. Given an action of a group $G$, a signature map assigns to a plane algebraic curve another plane algebraic curve (a signature curve) in such a way that two generic ...
Irina A. Kogan +2 more
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On a differential-algebraic problem [PDF]
Applications of Mathematics, 2000 A method for solving the following system \[ x'(t) = f(t,x(t),y(t)),\;t\in J= [0,b],\;x(0) = k_0,\;y(t) = g(t,x(t),y(t)), \;t\in J, \] where \(f\in C(J,\mathbb R\times \mathbb R,\mathbb R,\;g\in C(J,\mathbb R\times \mathbb R,\mathbb R)\) and \(k_0\in \mathbb R\) are given, of differential-algebraic equations is suggested.
Dabrowicz-Tlałka, Anita +1 more
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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
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Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li +5 more
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