Results 101 to 110 of about 226,986 (311)
Principal bundles under reductive groups [PDF]
arXiv, 2015 Let $k$ be a field of characteristic $0$. We consider principal bundles over a $k$-scheme with reductive structure group (not necessarily of finite type). It is showm in particular that for $k$ algebraically closed there exists on any complete connected $k$-scheme a universal such bundle.
arxiv
Molecular Oncology, EarlyView.Epithelial–mesenchymal transition (EMT) and tumor‐infiltrating lymphocytes (TILs) are associated with early breast cancer response to neoadjuvant chemotherapy (NAC). This study evaluated EMT and TIL shifts, with immunofluorescence and RNA sequencing, at diagnosis and in residual tumors as potential biomarkers associated with treatment response.
Françoise Derouane +16 more
wiley +1 more source
Дифференциальная геометрия многообразий фигур, 2018 The congruence of hypercentred planes is investigated in n-dimensional projective space. The congruence is a holonomic smooth manifold. It is proved that curvature object for the fundamental-group connection in the principal fibre bundle associated ...
A. Vyalova
doaj
Parallel Connections Over Symmetric Spaces [PDF]
arXiv, 1997 Let M be a simply connected Riemannian symmetric space, with at most one flat direction. We show that every Riemannian (or unitary) vector bundle with parallel curvature over M is an associated vector bundle of a canonical principal bundle, with the connection inherited from the principal bundle.
arxiv
Connections and Frame Bundle Reductions [PDF]
arXiv, 2020 In general relativity, the gravitational potential is represented by the Levi-Civita connection, the only symmetric connection preserving the metric. On a differentiable manifold, a metric identifies with an orthogonal structure, defined as a Lorentz reduction of the frame bundle.
arxiv
A Tannakian approach to dimensional reduction of principal bundles [PDF]
, 2016 Let $P$ be a parabolic subgroup of a connected simply connected complex semisimple Lie group $G$. Given a compact K\"ahler manifold $X$, the dimensional reduction of $G$-equivariant holomorphic vector bundles over $X\times G/P$ was carried out by the first and third authors.
arxiv +1 more source
Adverse prognosis gene expression patterns in metastatic castration‐resistant prostate cancer
Molecular Oncology, EarlyView.We aggregated a cohort of 1012 mCRPC tissue samples from 769 patients and investigated the association of gene expression‐based pathways with clinical outcomes. Loss of AR signaling, high proliferation, and a glycolytic phenotype were independently prognostic for poor outcomes, and an adverse transcriptional feature score incorporating these pathways ...
Marina N. Sharifi +26 more
wiley +1 more source
Molecular Oncology, EarlyView.TOMM20 increases cancer aggressiveness by maintaining a reduced state with increased NADH and NADPH levels, oxidative phosphorylation (OXPHOS), and apoptosis resistance while reducing reactive oxygen species (ROS) levels. Conversely, CRISPR‐Cas9 knockdown of TOMM20 alters these cancer‐aggressive traits.
Ranakul Islam +9 more
wiley +1 more source
Connective structure for principal gerbes [PDF]
arXiv, 2005 In this paper we generalize the notion of connective structure defined by Pierre Deligne to gerbes bounded by the automorphisms group of a principal bundle.
arxiv
Transcriptome‐wide analysis of circRNA and RBP profiles and their molecular relevance for GBM
Molecular Oncology, EarlyView.CircRNAs are differentially expressed in glioblastoma primary tumors and might serve as therapeutic targets and diagnostic markers. The investigation of circRNA and RNA‐binding proteins (RBPs) interactions shows that distinct RBPs play a role in circRNA biogenesis and function.
Julia Latowska‐Łysiak +14 more
wiley +1 more source