Results 1 to 10 of about 62,778,540 (180)
The Poincaré Index and Its Applications
Universe, 2022 We discuss an approach to the problem of calculating the local topological index of vector fields given on complex spaces or varieties with singularities developed by the author over the past few years. Our method is based on the study of the homology of
Alexander G. Aleksandrov
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Supersymmetry of the chiral de Rham complex [PDF]
Compositio Mathematica, 2008 Abstract We present a superfield formulation of the chiral de Rham complex (CDR), as introduced by Malikov, Schechtman and Vaintrob in 1999, in the setting of a general smooth manifold, and use it to endow CDR with superconformal structures of geometric origin. Given a Riemannian metric, we construct an
Ben-Zvi, David +2 more
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Pseudovaluations on the de Rham--Witt complex
Bulletin de la Société mathématique de France, 2022 16 ...
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The Auxiliary Space Preconditioner for the de Rham Complex [PDF]
SIAM Journal on Numerical Analysis, 2018 We generalize the construction and analysis of auxiliary space preconditioners to the n-dimensional finite element subcomplex of the de Rham complex. These preconditioners are based on a generalization of a decomposition of Sobolev space functions into a regular part and a potential.
Jay Gopalakrishnan +2 more
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A serendipity fully discrete div-div complex on polygonal meshes
Comptes Rendus. Mécanique, 2023 In this work we address the reduction of face degrees of freedom (DOFs) for discrete elasticity complexes. Specifically, using serendipity techniques, we develop a reduced version of a recently introduced two-dimensional complex arising from traces of ...
Botti, Michele +2 more
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Mathematics, 2021 We study the semi-Riemannian geometry of the foliation F of an indefinite locally conformal Kähler (l.c.K.) manifold M, given by the Pfaffian equation ω=0, provided that ∇ω=0 and c=∥ω∥≠0 (ω is the Lee form of M).
Elisabetta Barletta +2 more
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The de Rham theorem for the noncommutative complex of Cenkl and Porter
International Journal of Mathematics and Mathematical Sciences, 2002 We use noncommutative differential forms (which were first introduced by Connes) to construct a noncommutative version of the complex of Cenkl and Porter Ω∗,∗(X) for a simplicial set X.
Luis Fernando Mejias
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Nodal finite element de Rham complexes [PDF]
Numerische Mathematik, 2017 We construct 2D and 3D finite element de Rham sequences of arbitrary polynomial degrees with extra smoothness. Some of these elements have nodal degrees of freedom (DoFs) and can be considered as generalisations of scalar Hermite and Lagrange elements.
Snorre H. Christiansen +2 more
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De Rham Complex of a Gerstenhaber Algebra [PDF]
Moscow Mathematical Journal, 2015 We introduce a notion of the De Rham complex of a Gerstenhaber algebra which produces a notion of a "quasi-BV structure", and allows to classify these structures, generalizing the classical results for polyvector fields.
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An extention of Nomizu’s Theorem –A user’s guide–
Complex Manifolds, 2016 For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
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