Results 41 to 50 of about 62,778,540 (180)
Superspace de Rham complex and relative cohomology [PDF]
Journal of High Energy Physics, 2015 We investigate the super-de Rham complex of five-dimensional superforms with $N=1$ supersymmetry. By introducing a free supercommutative algebra of auxiliary variables, we show that this complex is equivalent to the Chevalley-Eilenberg complex of the translation supergroup with values in superfields. Each cocycle of this complex is defined by a Lorentz-
Linch, William, Randall, Stephen
openaire +3 more sources
Pinwheels in symplectic rational and ruled surfaces and non‐squeezing of rational homology balls
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We use almost toric fibrations and the symplectic rational blow‐up to determine when certain Lagrangian pinwheels, which we call liminal, embed in symplectic rational and ruled surfaces. The case of L2,1$L_{2,1}$‐pinwheels, namely Lagrangian RP2s$\mathbb {R}P^2{\rm s}$, answers a question of Kronheimer in the negative, exhibiting a symplectic ...
Nikolas Adaloglou, Johannes Hauber
wiley +1 more source
Symplectic manifolds and cohomological decomposition [PDF]
, 2012 Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology.
Daniele Angella +3 more
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Twisted de Rham theory for string double copy in AdS
Journal of High Energy PhysicsThis work is motivated by the recent evidence for a double-copy relationship between open- and closed-string amplitudes in Anti-de Sitter (AdS) space. At present, the evidence has the form of a double-copy relation for string-amplitude building blocks ...
Hiren Kakkad +2 more
doaj +1 more source
Yang–Mills models on Noncommutative background
Partial Differential Equations in Applied MathematicsIn our previous publications we have developed some elements of Noncommutative calculus on the enveloping algebras of Am type, in particular, analogs of the partial derivatives and de Rham complex were defined.
Dimitry Gurevich, Pavel Saponov
doaj +1 more source
Quantum Algorithm for Estimating Betti Numbers Using Cohomology Approach [PDF]
QuantumTopological data analysis has emerged as a powerful tool for analyzing large-scale data. An abstract simplicial complex, in principle, can be built from data points, and by using tools from homology, topological features could be identified.
Nhat A. Nghiem +2 more
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Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley +1 more source
Uniform Poincaré inequalities for the Discrete de Rham complex on general domains
Results in Applied MathematicsIn this paper we prove Poincaré inequalities for the Discrete de Rham (DDR) sequence on a general connected polyhedral domain Ω of R3. We unify the ideas behind the inequalities for all three operators in the sequence, deriving new proofs for the ...
Daniele A. Di Pietro +1 more
doaj +1 more source
Differential Calculus on N-Graded Manifolds
Journal of Mathematics, 2017 The differential calculus, including formalism of linear differential operators and the Chevalley–Eilenberg differential calculus, over N-graded commutative rings and on N-graded manifolds is developed.
G. Sardanashvily, W. Wachowski
doaj +1 more source
Journal of the Science of Food and Agriculture, Volume 106, Issue 10, Page 5921-5933, 15 August 2026.Abstract BACKGROUND Soybean underpins Brazil's agricultural, yet its sustainability is threatened by lepidopteran pests such as Anticarsia gemmatalis. Although insect‐resistant cultivars have long been associated with the constitutive accumulation of quercetin‐derived flavonols, the biochemical mechanisms underlying this resistance remain poorly ...
Jessica Nunes de Assis +9 more
wiley +1 more source