Results 21 to 30 of about 17,373 (192)
De Rham Cohomology of SO(n) by Supersymmetric Quantum Mechanics [PDF]
, 1996 We give an elementary derivation of the de Rham cohomology of SO(n) in terms of supersymmetric quantum mechanics. Our analysis is based on Witten's Morse theory. We show reflection symmetries of the theory are useful to select true vacuums. The number of
Kazuto Oshima, Witten E.
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The de Rham–Fargues–Fontaine cohomology
Algebra & Number Theory, 2023 Minor edits.
Arthur-César Le Bras, Alberto Vezzani
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Feynman integrals: Synergies between particle physics and gravitational waves [PDF]
EPJ Web of ConferencesFeynman integrals are essential for computing scattering amplitudes. Linear relations among these integrals, through Integral-By-Parts (IBP) identities, reduce them to a smaller set of independent integrals, known as master integrals (MIs). In twisted de-
Mandal Manoj Kumar
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On quantum de Rham cohomology theory [PDF]
Electronic Research Announcements of the American Mathematical Society, 1999 We define the quantum exterior product ∧ h \wedge _h and quantum exterior differential d h d_h on Poisson manifolds. The quantum de Rham cohomology, which is a deformation quantization of the de Rham cohomology, is defined as the cohomology of d h d_h
Cao, Huai-Dong, Zhou, Jian
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The de Rham Cohomology Classes of Hemi-Slant Submanifolds in Locally Product Riemannian Manifolds
MathematicsThis paper aims to discuss the de Rham cohomology of hemi-slant submanifolds in locally product Riemannian manifolds. The integrability and geodesical invariance conditions of the distributions derived from the definition of a hemi-slant submanifold are ...
Mustafa Gök, Erol Kılıç
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Twisted de Rham cohomology, homological definition of the integral and "Physics over a ring"
, 2008 We define the twisted de Rham cohomology and show how to use it to define the notion of an integral of the form $\int g(x) e^{f(x)}dx$ over an arbitrary ring.
Schwarz, Albert, Shapiro, Ilya
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Finitary Čech-de Rham Cohomology
International Journal of Theoretical Physics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mallios, A., Raptis, I.
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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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Gauss-Manin Connections for Boundary Singularities and Isochore Deformations
Demonstratio Mathematica, 2015 We study here the relative cohomology and the Gauss-Manin connections associated to an isolated singularity of a function on a manifold with boundary, i.e. with a fixed hyperplane section.
Kourliouros Konstantinos
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ON INFINITE SERIES OF NONLOCAL CONSERVATION LAWS FOR PARTIAL DIFFERENTIAL EQUATIONS
Научный вестник МГТУ ГА, 2018 Популярное в математике понятие интегрируемости дифференциальных уравнений (и столь же разнообразно трактуемое) тесно связано с существованием симметрий и законов сохранения.
N. G. Khor’kova
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