Results 31 to 40 of about 280,723 (307)
K-theory and phase transitions at high energies
The duality between E8xE8 heteritic string on manifold K3xT2 and Type IIA string compactified on a Calabi-Yau manifold induces a correspondence between vector bundles on K3xT2 and Calabi-Yau manifolds.
T. V. Obikhod
doaj +1 more source
Formation of high-order cylindrical vector beams with sector sandwich structures
Complex polarization-phase transformations are considered, which are implemented using easy-to-manufacture optical elements. The manufacturing technology of such elements is based on the axially symmetric discretization of the required polarization and ...
S.V. Karpeev+3 more
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Venom peptides have shown promise in treating pain. Our study uses computer screening to identify a peptide that targets a sodium channel (NaV1.7) linked to chronic pain. We produced the peptide in the laboratory and refined its design, advancing the search for innovative pain therapies.
Gagan Sharma+8 more
wiley +1 more source
Matrices of linear forms of constant rank from vector bundles on projective spaces [PDF]
We consider the problem of constructing matrices of linear forms of constant rank by focusing on the associated vector bundles on projective spaces. Important examples are given by the classical Steiner bundles, as well as some special (duals of) syzygy bundles that we call Dr{\'e}zet bundles.
arxiv
We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials).
Helge Glöckner
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Opers of higher types, Quot-schemes and Frobenius instability loci [PDF]
In this paper we continue our study of the Frobenius instability locus in the coarse moduli space of semi-stable vector bundles of rank $r$ and degree $0$ over a smooth projective curve defined over an algebraically closed field of characteristic $p>0 ...
Kirti Joshi, Christian Pauly
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The power of microRNA regulation—insights into immunity and metabolism
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto+2 more
wiley +1 more source
Higher vector bundles and multi-graded symplectic manifolds
A natural explicit condition is given ensuring that an action of the multiplicative monoid of non-negative reals on a manifold F comes from homotheties of a vector bundle structure on F, or, equivalently, from an Euler vector field.
Alexandrov+37 more
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Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke+2 more
wiley +1 more source
Equivariant Vector Bundles on T-Varieties
Let X be a T-variety, where T is an algebraic torus. We describe a fully faithful functor from the category of T-equivariant vector bundles on X to a certain category of filtered vector bundles on a suitable quotient of X by T.
Ilten, Nathan, Süß, Hendrik
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