Results 111 to 120 of about 1,915,753 (240)
Among recently introduced new notions in real algebraic geometry is that of regulous functions. Such functions form a foundation for the development of regulous geometry. Several interesting results on regulous varieties and regulous sheaves are already available. In this paper, we define and investigate regulous vector bundles.
arxiv
For a projective manifold whose tangent bundle is of nonnegative degree, a vector bundle on it with a holomorphic connection actually admits a compatible flat holomorphic connection, if the manifold satisfies certain conditions.
I. Biswas
semanticscholar +1 more source
We obtained potential bacterial laccase‐like multicopper oxidase (LMCO) sequences through metagenomic sequencing. All sequences exhibited significant differences from known LMCOs in databases. To select the most promising candidates, we performed structure prediction and molecular docking using alphafold2, metal3d and rosetta.
Ting Cui+5 more
wiley +1 more source
On the proper meaning of the curvature tensor and its general framework [PDF]
We make evident a curvature tensor for every vector sub-bundle of an arbitrary manifold tangent bundle which reduces to the curvature tensor of an Ehresmann connection in the case of the horizontal sub-bundle of the tangent bundle to the total space of the nonlinear fiber bundle on which the connection is defined.
arxiv
Long non‐coding RNAs (lncRNAs) occupy an abundant fraction of the eukaryotic transcriptome and an emerging area in cancer research. Regulation by lncRNAs is based on their subcellular localization in HNSCC. This cartoon shows the various functions of lncRNAs in HNSCC discussed in this review.
Ellen T. Tran+3 more
wiley +1 more source
A bundle gerbe construction of a spinor bundle from the smooth free loop of a vector bundle [PDF]
A bundle gerbe is constructed from an oriented smooth vector bundle of even rank with a fiberwise inner product, over a compact connected orientable smooth manifold with Riemannian metric. From a trivialization of the bundle gerbe is constructed an irreducible Clifford module bundle, a spinor bundle over the smooth free loop space of the manifold ...
arxiv
Understanding and Overcoming Immunotherapy Resistance in Skin Cancer: Mechanisms and Strategies
This narrative review explores the mechanisms driving immunotherapy resistance in skin cancer, including tumor microenvironment factors, genetic mutations, and immune evasion strategies. It highlights potential strategies to overcome resistance, offering insights for improving therapeutic outcomes and guiding future research in personalized ...
Shreya Singh Beniwal+8 more
wiley +1 more source
Spin-structures and 2-fold coverings
We prove that the existence of a Spin-structure on an oriented realvector bundle and the number of them can be obtained in terms of 2-fold coverings of the total space of the SO(n)-principal bundle associated to the vector bundle. Basically we use theory
Maria Hermínia de Paula Leite Mello+2 more
doaj
Internal functionals and bundle duals
If π:E→X is a bundle of Banach spaces, X compact Hausdorff, a fibered space π*:E*→X can be constructed whose stalks are the duals of the stalks of the given bundle and whose sections can be identified with the functionals studied by Seda in [1] and [2]
Joseph W. Kitchen, David A. Robbins
doaj +1 more source
Characteristic classes and quadric bundles [PDF]
We construct Euler and Stiefel-Whitney classes of vector bundles with quadratic form by analyzing the intersection theory of the associated quadric bundles. We also compute the Chow rings of quadric and isotropic flag bundles. Along the way, we prove a conjecture of Fulton on top Chern classes of maximal isotropic sub-bundles of an even rank quadratic ...
arxiv