Results 11 to 20 of about 2,362,828 (289)
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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Principal Co-Fiber Bundles [PDF]
Transactions of the American Mathematical Society, 1976 Principal co-fiber bundles are defined in the category of topological groups. They are Eckmann-Hilton duals of principal fiber bundles. A classification theorem is provided as well as an example which almost represents the most general case.
Elyahu Katz
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On connections on principal bundles [PDF]
Arab Journal of Mathematical Sciences, 2017 A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
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Diffeological principal bundles and principal infinity bundles [PDF]
Journal of Homotopy and Related Structures, 2023 In 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 $A$.
Minichiello, Emilio
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Principal Bundles and Gauge Theories [PDF]
, 2011 This set of lecture notes first gives an introduction to the geometry of principal bundles. Next, it demonstrates how they can be used to formalize the concept of gauge theories arising in physics. A basic familiarity with the differential geometry of manifolds and the classical field theories of general relativity and electromagnetism is assumed.
Vákár, Matthijs
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Lie algebroids and the geometry of off-shell BRST
Nuclear Physics B, 2021 It is well-known that principal bundles and associated bundles underlie the geometric structure of classical gauge field theories. In this paper, we explore the reformulation of gauge theories in terms of Lie algebroids and their associated bundles. This
Luca Ciambelli, Robert G. Leigh
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Land, 2022 An understanding of the relationships among multiple ecosystem services (ES) facilitates ecosystem management and decision-making. The study of ES bundles can well explain the complex interactions between different ES in a region.
Shuang Gan +8 more
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Linear and projective connections over a smooth manifold
Дифференциальная геометрия многообразий фигур, 2023 The principal bundles of the first order coframes and the second order coframes, as well as factor bundle of centroprojective (coaffine) coframes are considered.
Yu. I. Shevchenko, A. V. Vyalova
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Stem anatomical survey of the genera Matricaria and Tripleurospermum (Asteraceae) from Turkey with its taxonomical and ecological implications [PDF]
Botanica Serbica, 2022 A comparative anatomical study of the stems in 32 taxa assigned in the two related genera; Matricaria (4 taxa) and Tripleurospermum (28 taxa, 30 accessions), was carried out in Turkey by using cluster analysis (CA) and principal component analysis ...
Melahat Ozcan, Huseyin Inceer
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On principal $G_2$ bundles [PDF]
Asian Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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