Results 71 to 80 of about 2,390,711 (295)
Diffeological principal bundles and principal infinity bundles
Journal of Homotopy and Related StructuresIn this paper, we study diffeological spaces as certain kinds of discrete simplicial presheaves on the site of cartesian spaces with the coverage of good open covers. The Čech model structure on simplicial presheaves provides us with a notion of $\infty$-stack cohomology of a diffeological space with values in a diffeological abelian group $A$.
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On the Existence of Equivariant Embeddings of Principal Bundles into Vector Bundles [PDF]
Proceedings of the American Mathematical Society, 1983 Let G G be a finite group and let
Hansen, Vagn Lundsgaard +1 more
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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Principal non-commutative torus bundles [PDF]
Proceedings of the London Mathematical Society, 2008 In this paper we study continuous bundles of C*-algebras which are non-commutative analogues of principal torus bundles. We show that all such bundles, although in general being very far away from being locally trivial bundles, are at least locally trivial with respect to a suitable bundle version of bivariant K-theory (denoted RKK-theory) due to ...
Echterhoff, Siegfried +2 more
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Bundle Branch Reentrant Ventricular Tachycardia [PDF]
, 2005 Bundle branch reentrant (BBR) tachycardia is an uncommon form of ventricular tachycardia (VT) incorporating both bundle branches into the reentry circuit.
Jairo Kusniec +5 more
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Investigating transcription factor dynamics in health and disease using FRAP
FEBS Letters, EarlyView.FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
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Exotic spheres’ metrics and solutions via Kaluza-Klein techniques
Journal of High Energy Physics, 2023 By applying an inverse Kaluza-Klein procedure, we provide explicit coordinate expressions for Riemannian metrics on two homeomorphic but not diffeomorphic spheres in seven dimensions.
T. Schettini Gherardini
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Principal bundles on the projective line
Proceedings Mathematical Sciences, 2002 Let \(G\) be a reductive group defined over any field \(k\) of characteristic different from \(2\) and \(3\). Let \(E\) denote a principal \(G\)-bundle on the projective line \({\mathbb P}^1_k\) which is trivial at the origin i.e., the restriction of \(E\) to the \(k\)-rational point \(0\in {\mathbb P}^1_k\) is a trivial principal homogeneous space ...
Mehta, V. B., Subramanian, S.
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Connections on a Parabolic Principal Bundle Over a Curve
, 2006 The aim here is to define connections on a parabolic principal bundle. Some applications are given.
Indranil Biswas
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An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes
FEBS Letters, EarlyView.GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg +14 more
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