Готові списки джерел за темами / 2-Plectic

Добірка наукової літератури з теми "2-Plectic"

Автор: Grafiati

Опубліковано: 8 червня 2024

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Статті в журналах з теми "2-Plectic":

SHAFIEE, M. "2-PLECTIC MANIFOLDS AND ITS RELATION WITH COURANT ALGEBROIDS." International Journal of Geometric Methods in Modern Physics 09, no. 03 (May 2012): 1250015. http://dx.doi.org/10.1142/s0219887812500156.

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In this paper we study the relation between 2-plectic manifolds and Courant algebroids. We establish a relation between 2-Lagrangian submanifolds of 2-plectic manifolds and subbundles of Courant algebroids. Also we show that an action of a compact Lie group G on a 2-plectic manifold (M, ω) can be extended to an action of G on an exact Courant algebroid E over M if and only if G is a subgroup of Hamiltonian group of (M, ω).

SÄMANN, CHRISTIAN, and RICHARD J. SZABO. "GROUPOIDS, LOOP SPACES AND QUANTIZATION OF 2-PLECTIC MANIFOLDS." Reviews in Mathematical Physics 25, no. 03 (April 2013): 1330005. http://dx.doi.org/10.1142/s0129055x13300057.

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We describe the quantization of 2-plectic manifolds as they arise in the context of the quantum geometry of M-branes and non-geometric flux compactifications of closed string theory. We review the groupoid approach to quantizing Poisson manifolds in detail, and then extend it to the loop spaces of 2-plectic manifolds, which are naturally symplectic manifolds. In particular, we discuss the groupoid quantization of the loop spaces of ℝ3, 𝕋3and S3, and derive some interesting implications which match physical expectations from string theory and M-theory.

Shafiee, Mohammad. "A note on $2$-plectic homogeneous manifolds." Journal of Geometric Mechanics 7, no. 3 (July 2015): 389–94. http://dx.doi.org/10.3934/jgm.2015.7.389.

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Rogers, Christopher L. "2-Plectic geometry, Courant algebroids, and categorified prequantization." Journal of Symplectic Geometry 11, no. 1 (2013): 53–91. http://dx.doi.org/10.4310/jsg.2013.v11.n1.a4.

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Shafiee, Mohammad. "The 2-plectic structures induced by the Lie bialgebras." Journal of Geometric Mechanics 9, no. 1 (2017): 83–90. http://dx.doi.org/10.3934/jgm.2017003.

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Shafiee, Mohammad. "On compact semisimple Lie groups as 2-plectic manifolds." Journal of Geometry 105, no. 3 (April 21, 2014): 615–23. http://dx.doi.org/10.1007/s00022-014-0223-5.

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Krepski, Derek. "Lie 2-algebras of symmetries of U(1)-bundle gerbes." Journal of Physics: Conference Series 2667, no. 1 (December 1, 2023): 012035. http://dx.doi.org/10.1088/1742-6596/2667/1/012035.

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Abstract This is a brief survey of some recent results on infinitesimal symmetries of bundle gerbes and their relation to three Lie 2-algebras associated to manifolds equipped with a closed 3-form, such as 2-plectic manifolds: the Poisson Lie 2-algebra of local observables, the Lie 2-algebra of sections of an associated exact Courant algebroid, and the Atiyah Lie 2-algebra.

Bunk, Severin. "Gerbes in Geometry, Field Theory, and Quantisation." Complex Manifolds 8, no. 1 (January 1, 2021): 150–82. http://dx.doi.org/10.1515/coma-2020-0112.

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Abstract This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation. We cover the definition of bundle gerbes with connection and their morphisms, and explain the classification of bundle gerbes with connection in terms of differential cohomology. We then survey how the surface holonomy of bundle gerbes combines with their transgression line bundles to yield a smooth bordism-type field theory. Finally, we exhibit the use of bundle gerbes in geometric quantisation of 2-plectic as well as 1- and 2-shifted symplectic forms. This generalises earlier applications of gerbes to the prequantisation of quasi-symplectic groupoids.

Xu, Rushuang, Shan He, Di Ma, Rui Liang, Qing Luo, and Guanbin Song. "Plectin Downregulation Inhibits Migration and Suppresses Epithelial Mesenchymal Transformation of Hepatocellular Carcinoma Cells via ERK1/2 Signaling." International Journal of Molecular Sciences 24, no. 1 (December 21, 2022): 73. http://dx.doi.org/10.3390/ijms24010073.

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Plectin, as a cytoskeleton-related protein, is involved in various physiological and pathological processes of many cell types. Studies have found that plectin affects cancer cell invasion and metastasis, but the exact mechanism is not fully understood. In this study, we aim to investigate the role of plectin in the migration of hepatocellular carcinoma (HCC) cells and explore its relevant molecular mechanism. Herein, we found that the expression of plectin in HCC tissue and cells was significantly increased compared with normal liver tissue and cells. After downregulation of plectin, the migration ability of HCC cells was significantly lower than that of the control group. Moreover, the expression of E-cadherin was upregulated and the expression of N-cadherin and vimentin was downregulated, suggesting that plectin downregulation suppresses epithelial mesenchymal transformation (EMT) of HCC cells. Mechanically, we found that plectin downregulation repressed the extracellular signal-regulated kinase 1/2 (ERK1/2) phosphorylation. Activation of ERK1/2 recovered the plectin downregulation-inhibited migration and EMT of HCC cells. Taken together, our results demonstrate that downregulation of plectin inhibits HCC cell migration and EMT through ERK1/2 signaling, which provides a novel prognostic biomarker and potential therapeutic target for HCC.

Foisner, R., B. Feldman, L. Sander, and G. Wiche. "Monoclonal antibody mapping of structural and functional plectin epitopes." Journal of Cell Biology 112, no. 3 (February 1, 1991): 397–405. http://dx.doi.org/10.1083/jcb.112.3.397.

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To map structural and functional epitopes of the cytomatrix protein plectin, a set of mAbs was prepared by immunization of mice. Using immunoblot analysis of plectin fragments obtained after limited digestion with various proteases, two groups of mAbs were distinguished. The epitopes of one group (1) were located on a 130-kD terminal segment of the plectin 300-kD polypeptide chain, whereas those of the other group (2) bound within a 40kD segment confined to a central domain of the polypeptide chain. Domains containing the epitopes of group 2 mAbs were shown to include in vitro phosphorylation sites for kinase A, whereas kinase C phosphorylation sites were found on the same terminal segment that contained group 1 mAb epitopes. Rotary shadowing EM of mAb (Fab fragment) -decorated plectin molecules at various states of aggregation, ranging from characteristic dumbbell-shaped single molecules to highly complex multimeric structures, revealed that the epitopes of group 1 as well as those of group 2 mAbs were located on plectin's roughly 200-nm long rod domain interlinking its two globular end domains. Epitopes of group 1 mAbs were localized within a region near the center of the rod, those of group 2 in more peripheral sections near the globular end domains. Solid-phase binding assays carried out in the presence of Fab fragments of mAbs demonstrated an interference of certain group 1 mAbs in the interactions of plectin with vimentin and lamin B. On the other hand, plectin's self-interaction was inhibited mainly by Fab fragments with epitopes in the peripheral rod domain (group 2 mAbs). Together, these results suggested that the molecular binding sites of plectin for vimentin and lamin B, as well as the phosphorylation sites for kinase C, were confined to a defined central section of plectin's rod domain. In addition, they suggest an involvement of peripheral rod sections in plectin self-association.

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Дисертації з теми "2-Plectic":

Sevestre, Gabriel. "Géométrie et préquantification des variétés 2-plectiques." Electronic Thesis or Diss., Université de Lorraine, 2021. http://www.theses.fr/2021LORR0142.

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Une variété 'n-plectique' est un couple constitué d'une variété et d'une (n+1)-forme fermée et non-dégénérée. Ces variétés généralisent le cas symplectique (1-plectique) et donnent un cadre naturel aux théories géométriques des champs classiques (comme les variétés symplectiques sont l'arène naturel de la mécanique classique). Les variétés n-plectiques, déjà étudiées depuis des années 70, sont devenues très importantes à cause de leur rôle dans l'approche dite 'supérieure' à la géométrie et topologie différentielle, c'est-à-dire les structures subtiles, de type catégorique, récemment découvertes. Dans ce projet de thèse, l'accent sera mis sur le cas 2-plectique, notamment sur l'étude des sous-variétés distinguées (Lagrangiennes, co-isotropes, ...), la dynamique des systèmes Hamiltoniens et des symétries des variétés 2-plectiques, ainsi que sur la préquantification de celles-ci
An ‘n-plectic manifold’ is a couple formed by a manifold and a closed, non-degenerate differentiable form of degree (n+1). These manifolds generalize the symplectic case (1-plectic) and give a natural framework for studying geometric classical field theories (as well as symplectic manifolds give a natural framework for studying classical mechanics). N-plectic manifolds, already studied since the 70’s, became paramount because of their role in the so-called ‘higher’ approach to differential geometry and topology, subtle structures related to category theory, freshly discovered. In this PhD thesis, we will study almost exclusively 2-plectic manifolds, notably distinguished submanifolds (Lagrangian, co-isotropic…), the dynamic of Hamiltonian systems and symetries of 2-plectic manifolds, as well as their prequantisation

Gazzi, Thais [Verfasser]. "Illuminating Protein-Targets: Design and Synthesis of New Optical Imaging Probes for Studies of the Cannabinoid Type 2 Receptor and Plectin-1 / Thais Gazzi." Berlin : Freie Universität Berlin, 2021. http://d-nb.info/1231276037/34.

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Тези доповідей конференцій з теми "2-Plectic":

Saemann, Christian, and R. J. Szabo. "Quantization of 2-plectic manifolds." In Proceedings of the Corfu Summer Institute 2011. Trieste, Italy: Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.155.0046.

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Melnic, Maria. "Nematodofauna of potato tubers in the Republic of Moldova." In Xth International Conference of Zoologists. Institute of Zoology, Republic of Moldova, 2021. http://dx.doi.org/10.53937/icz10.2021.39.

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According to the multiannual researches, it was observed that, in the conditions of the Republic of Moldova, the Nematodofauna of potato tubers (Solanum tuberosum) of different varieties, collected from deposits, is specific, with the dominance of saprophytes due to the spread of bacteriosis and fungal infections. In the potato tubers, sick with dithylenchosis (phases 4, 5), the presence of 30 spec8es of nematoodes was identified, belonging to 24 genera, 14 families, 5 orders, 2 classes: 1. Class Secernentea, Orders Aphelenchida, Rhabditida and Tylenchida; 2. Class Adenophorea, Orders Dorylaimida and Plectida. Most species (19 species) are saprophytes of the Class Secernentea, Order Rhabditida with the dominance of the Superfamilies Cephaloboidea and Diplogasteroidea. According to the trophic-ecological group, the species detected in the potatoes tubers are included in all 5 groups: plant feeding, hiphal feeding, bacterial feeding, animal predation, omnivorous. In all researched varieties, both in frequency (100%) and density (thousands of individuals/gram of infested tissue) distinguished species Ditylenchus destructor Thorne 1945, Order Tylenchida, Family Anguinidae, which is also the main parasite in the culture of Solanum tuberosum in the Republic of Moldova, capable of causing dithylenhosis, as well as epiphytotics – mass infestation of potatoes in deposits