Results 21 to 30 of about 52,638 (215)
Chern-Simons forms for R-linear connections on Lie algebroids [PDF]
, 2011 The Chern-Simons forms for R-linear connections on Lie algebroids are considered. A generalized Chern-Simons formula for such R-linear connections is obtained. We it apply to define Chern character and secondary characteristic classes for R-linear connections of Lie algebroids.
Bogdan Balcerzak
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Flat connections in three-manifolds and classical Chern–Simons invariant
Nuclear Physics B, 2017 26 pages, 13 ...
E. Guadagnini +2 more
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Non-self-dual Yang-Mills connections with nonzero Chern number [PDF]
Bulletin of the American Mathematical Society, 1991 We prove the existence of non-self-dual Yang-Mills connections on SU(2) bundles over the four-sphere with standard Riemannian metric. In particular, our proof covers all bundles with second Chern number \(C_ 2\neq \pm 1.\) Existence on the trivial bundle \(C_ 2=0\) was previously established by \textit{L. M. Sibner}, \textit{R. J.
Lorenzo Sadun, Jan Segert
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Emergent Berry Curvature in Inversion-Symmetric Photonic Crystals for Ultraconfined Topological States. [PDF]
Adv MaterIn this work, nonzero Berry curvature in photonic crystals is induced by breaking unit cell inversion symmetry through spatial shifts rather than geometrical modifications. This enables the design of ultraconfined topological states with subwavelength in‐plane field confinement and out‐of‐plane field isolation.
Tan YJ, Singh R.
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GENERALIZED ABELIAN CHERN-SIMONS THEORIES AND THEIR CONNECTION TO CONFORMAL FIELD THEORIES [PDF]
International Journal of Modern Physics A, 1992 We discuss the generalization of Abelian Chern-Simons theories when θ-angles and magnetic monopoles are included. We map these three dimensional theories into sectors of two-dimensional conformal field theories. The introduction of θ-angles allows us to establish in a consistent fashion a connection between Abelian Chern-Simons and 2-d free scalar ...
Marco A. C. Kneipp
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A Residue Formula for Chern Classes Associated with Logarithmic Connections [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1982 Makoto OHTSUKI
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Cubo, 2022 We investigate Monge-Amp\`ere type equations on almost Hermitian manifolds and show an \textit{a priori} $L^\infty$ estimate for a smooth solution of these equations.
Masaya Kawamura
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General solutions in Chern-Simons gravity and T T ¯ $$ T\overline{T} $$ -deformations
Journal of High Energy Physics, 2021 We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection.
Eva Llabrés
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Groupoids in Sikorski’s spaces, connections and the Chern-Weil homomorphism [PDF]
Banach Center Publications, 2001 Krzysztof Lisiecki
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Connections on Lie groupoids and Chern–Weil theory
Reviews in Mathematical Physics, 2023 Let [Formula: see text] be a Lie groupoid equipped with a connection, given by a smooth distribution [Formula: see text] transversal to the fibers of the source map. Under the assumption that the distribution [Formula: see text] is integrable, we define a version of de Rham cohomology for the pair [Formula: see text], and we study connections on ...
Indranil Biswas +3 more
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