Results 21 to 30 of about 1,765,714 (253)
Symmetric space λ-model exchange algebra from 4d holomorphic Chern-Simons theory [PDF]
Journal of High Energy Physics, 2021 We derive, within the Hamiltonian formalism, the classical exchange algebra of a lambda deformed string sigma model in a symmetric space directly from a 4d holomorphic Chern-Simons theory.
David M. Schmidtt
doaj +2 more sources
A note on the Gauss-Bonnet-Chern theorem for general connection [PDF]
Journal of Geometry and Physics, 2014 In this paper, we prove a local index theorem for the DeRham Hodge-laplacian which is defined by the connection compatible with metric. This connection need not be the Levi-Civita connection. When the connection is Levi-Civita connection, this is the classical local Gauss-Bonnet-Chern theorem.
Haoran Zhao, Haoran Zhao, Haoran Zhao
arxiv +4 more sources
Corrigendum to "Chern connection of a pseudo-Finsler metric as a family of affine connections" [PDF]
Publicationes Mathematicae Debrecen, 2014 In this note, we give the correct statements of [2,Proposition 3.3 and Theorem 3.4] and a formula of the Chern curvature in terms of the curvature tensor $R^V$ of the affine connection $\nabla^V$ and the Chern tensor $P$.
Miguel Ángel Javaloyes
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Strong connections and the relative Chern-Galois character for corings
International Mathematics Research Notices, 2005 The Chern-Galois theory is developed for corings or coalgebras over non-commutative rings. As the first step the notion of an entwined extension as an extension of algebras within a bijective entwining structure over a non-commutative ring is introduced.
Gabriella Böhm, Tomasz Brzeziński
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Spectral triples from bimodule connections and Chern connections [PDF]
Journal of Noncommutative Geometry, 2017 We give a geometrical construction of Connes spectral triples or noncommutative Dirac operators \def\Dslash{{\mathrlap{\,/}{D}}}\Dslash starting with a bimodule connection on the proposed spinor bundle. The theory is applied to the example of M_2(\mathbb C)
Edwin Beggs, Shahn Majid
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The Chern-Finsler connection and Finsler-Kähler manifolds [PDF]
Advanced Studies in Pure Mathematics, 2019 In this paper, we shall discuss the theory of connection in complex Finsler geometry, i.e., the Chern-Finsler connection $\nabla$ and its applications. In particular, we shall investigate (1) the ampleness of holomorphic vector bundles over a compact complex manifold which is based on the study due to [Ko1], (2) some special class of complex Finsler ...
Tadashi Aikou
openalex +3 more sources
Super Chern–Simons theory and flat super connections on a torus [PDF]
Advances in Theoretical and Mathematical Physics, 2001 We study the moduli space of a super Chern-Simons theory on a manifold with the topology ${\bf R}\times $, where $ $ is a compact surface. The moduli space is that of flat super connections modulo gauge transformations on $ $, and we study in detail the case when $ $ is atorus and the supergroup is $OSp(m|2n)$.
Aleksandar Miković, Roger Picken
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Geometric structures associated with the Chern connection attached to a SODE [PDF]
Differential Geometry and its Applications, 2013 To each second-order ordinary differential equation $ $ on a smooth manifold $M$ a $G$-structure $P^ $ on $J^1(\mathbb{R},M)$ is associated and the Chern connection $\nabla ^ $ attached to $ $ is proved to be reducible to $P^ $; in fact, $P^ $ coincides generically with the holonomy bundle of $\nabla ^ $.
J. Muñoz Masqué, E. Rosado María
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Chern connections and Chern curvature of the tangent bundle of almost complex manifolds
, 2004 The $\bar{\partial}_{_{J}}$ operator over an almost complex manifold induces canonical connections of type $(0,1)$ over the bundles of $(p,0)$-forms. If the almost complex structure is integrable then the previous connections induce the canonical holomorphic structures of the bundles of $(p,0)$-forms.
Nefton Pali
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