Results 21 to 30 of about 1,641,940 (221)
A residue formula for Chern classes associated with logarithmic connections [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1978 Makoto Otsuki
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On Hermitian manifolds whose Chern connection is Ambrose-Singer
Transactions of the American Mathematical Society, 2022 We consider the class of compact Hermitian manifolds whose Chern connection is Ambrose-Singer, namely, it has parallel torsion and curvature. We prove structure theorems for such manifolds.
Lei Ni, Fangyang Zheng
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String connections and Chern-Simons theory [PDF]
Transactions of the American Mathematical Society, 2013 55 pages; v2: new section with a better treatment of the relation to string connections of Stolz-Teichner, minor changes otherwise; v3: some newest developments referenced, minor changes; v4 comes with typos corrected and is the final and published ...
Konrad Waldorf
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Chern currents of singular connections associated with a section of a compactified bundle [PDF]
Indiana University Mathematics Journal, 1995 A compactification of the Chern-Weil theory for bundle maps, developed by \textit{F. R. Harvey} and \textit{H. B. Lawson jun.} [Astérisque 213, 268 (1993; Zbl 0804.53037)], is described. For each section \(\nu\) of the compactification \(\mathbb{P} (\underline \mathbb{C} \oplus F) \to X\) of a rank \(n\) complex vector bundle \(F \to X\) with ...
J. Zweck
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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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A symmetric Finsler space with Chern connection
, 2007 We define a symmetry for a Finsler space with Chern connection and investigate its implementation and properties and find a relation between them and flag curvature.
Dariush Latifi, Asadollah Razavi
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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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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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