Results 31 to 40 of about 62,778,540 (180)
On approximations of the de Rham complex and their cohomology [PDF]
, 2017 For a commutative algebra R, its de Rham cohomology is an important invariant of R. In the paper, an infinite chain of de Rham-like complexes is introduced where the first member of the chain is the de Rham complex.
Akcin, H.M.T. +6 more
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Advances in Mathematical Physics, 2011 The mechanism of differential geometric calculus is based on the fundamental notion of a connection on a module over a commutative and unital algebra of scalars defined together with the associated de Rham complex.
Anastasios Mallios, Elias Zafiris
doaj +1 more source
One-dimensional super Calabi-Yau manifolds and their mirrors
Journal of High Energy Physics, 2017 We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ , namely the projective ...
S. Noja +4 more
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Overconvergent de Rham-Witt cohomology [PDF]
, 2011 The goal of this work is to construct, for a smooth variety X over a perfect field k of finite characteristic p > 0, an overconvergent de Rham-Witt complex WyX=k as a suitable sub-complex of the de Rham-Witt complex of Deligne-Illusie.
Langer, Andreas +2 more
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Forum of Mathematics, PiFor a reduced hyperplane arrangement, we prove the analytic Twisted Logarithmic Comparison Theorem, subject to mild combinatorial arithmetic conditions on the weights defining the twist.
Daniel Bath
doaj +1 more source
Quasicomplex N=2, d=1 Supersymmetric Sigma Models
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing ...
Evgeny A. Ivanov, Andrei V. Smilga
doaj +1 more source
Canonical Deformations of de Rham Complexes
Advances in Mathematics, 1995 Let \(\Omega^\bullet_{A/k}\) be the de Rham complex of the commutative polynomial ring \(A=k[x_1,\dots,x_n]\) relative to a field \(k\). The author investigates a special deformation of \(\Omega^\bullet_{A/k}\) in the category of differential graded algebras that appeared in the paper of \textit{S. Woronowicz} [Commun. Math. Phys. 122, No.
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Harmonic potentials in the de Rham complex
CoRRRepresenting vector fields by potentials can be a challenging task in domains with cavities or tunnels, due to the presence of harmonic fields which are both irrotational and solenoidal but may have no scalar or vector potentials. For harmonic fields normal to the boundary, which exist in domains with cavities, the standard approach is to construct ...
Martin Campos Pinto, Julian Owezarek
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