Results 31 to 40 of about 276,684 (327)

GEOMETRIC AND EXTENSOR ALGEBRAS AND THE DIFFERENTIAL GEOMETRY OF ARBITRARY MANIFOLDS [PDF]

open access: greenInternational Journal of Geometric Methods in Modern Physics, 2007
We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U ⊂ M, based on the geometric and extensor calculus on an arbitrary smooth manifold M.
V. V. Fernández   +2 more
openalex   +6 more sources

Formal differential geometry and Nambu-Takhtajan algebra [PDF]

open access: bronzeBanach Center Publications, 1997
YURI L. DALETSKII, Vitaly Kushnirevitch
openalex   +3 more sources

Index Reduction for Degenerated Differential-Algebraic Equations by Embedding [PDF]

open access: yesarXiv.org, 2022
. To find consistent initial data points (witness points) for a system of differential-algebraic equations, requires the identification of its missing (hidden) constraints arising from differentiation of the system.
Wenqiang Yang, Wenyuan Wu, G. Reid
semanticscholar   +1 more source

Elliptic K3 surfaces at infinite complex structure and their refined Kulikov models

open access: yesJournal of High Energy Physics, 2022
Motivated by the Swampland Distance and the Emergent String Conjecture of Quantum Gravity, we analyse the infinite distance degenerations in the complex structure moduli space of elliptic K3 surfaces. All complex degenerations of K3 surfaces are known to
Seung-Joo Lee, Timo Weigand
doaj   +1 more source

Smoothly splitting amplitudes and semi-locality

open access: yesJournal of High Energy Physics, 2022
In this paper, we study a novel behavior developed by certain tree-level scalar scattering amplitudes, including the biadjoint, NLSM, and special Galileon, when a subset of kinematic invariants vanishes without producing a singularity.
Freddy Cachazo   +2 more
doaj   +1 more source

Weights and recursion relations for ϕ p tree amplitudes from the positive geometry

open access: yesJournal of High Energy Physics, 2020
Recently, the accordiohedron in kinematic space was proposed as the positive geometry for planar tree-level scattering amplitudes in the ϕ p theory [1]. The scattering amplitudes are given as a weighted sum over canonical forms of some accordiohedra with
Ryota Kojima
doaj   +1 more source

Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form [PDF]

open access: yesTransactions of the American Mathematical Society, 2010
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d d and order h h with a generic differential hypersurface of order s ...
X. Gao, Wei Li, C. Yuan
semanticscholar   +1 more source

Notes on biadjoint amplitudes, Trop G(3, 7) and X(3, 7) scattering equations

open access: yesJournal of High Energy Physics, 2020
In these notes we use the recently found relation between facets of tropical Grassmannians and generalizations of Feynman diagrams to compute all “biadjoint amplitudes” for n = 7 and k = 3.
Freddy Cachazo, Jairo M. Rojas
doaj   +1 more source

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