Results 1 to 10 of about 27,493 (74)
Comparison of categorical characteristic classes of a transitive Lie algebroid with the Chern-Weil homomorphism [PDF]
Russian journal of mathematical physics, 2015 This paper is devoted to analyzing two approaches to characteristic classes of transitive Lie algebroids. The first approach is due to Kubarski [5] and is a version of the Chern-Weil homomorphism.
Xiaoli Li, A. S. Mishchenko
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Groupoids in Sikorski’s spaces, connections and the Chern-Weil homomorphism [PDF]
, 2001 The subject of this paper is the notion of the connection in a foliated groupoid (briefly, F-groupoid) and the construction of the Chern-Weil homomorphism of an F-groupoid. The author shows its independence of the choice of the connection.
Krzysztof Lisiecki
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On Weil homomorphism in locally free sheaves over structured spaces
Demonstratio Mathematica, 2017 Inspired by the work of Heller and Sasin [1], we construct in this paper Weil homomorphism in a locally free sheaf W of ϕ-fields [2] over a structured space.
Falkiewicz Ewa, Sasin Wiesław
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Lie theory and the Chern-Weil homomorphism [PDF]
, 2003 Anton Alekseev, Eckhard Meinrenken
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Chern-Weil homomorphism in twisted equivariant cohomology [PDF]
, 2008 Alexander Caviedes +2 more
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On the Chern-Weil homomorphism and the continuous cohomology of Lie-groups
, 1973 R. Bott
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Differential calculus for generalized geometry and geometric Lax flows [PDF]
Pacific Journal of Mathematics, 2022 Employing a class of generalized connections, we describe certain differential complices $\left(\tilde \Omega^*_{\mathbb{T}}(M), \tilde{\mathbb{d}}^{\mathbb{T}}\right)$ constructed from $\wedge^* \mathbb{T} M$ and study some of their basic properties ...
Shengda Hu
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Cyclic-Homology Chern–Weil Theory for Families of Principal Coactions
Communications in Mathematical Physics, 2020 Viewing the space of cotraces in the structural coalgebra of a principal coaction as a noncommutative counterpart of the classical Cartan model, we construct the cyclic-homology Chern–Weil homomorphism.
P. M. Hajac, Tomasz Maszczyk
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The Character Map in Nonabelian Cohomology [PDF]
, 2020 We extend the Chern character on K-theory, in its generalization to the Chern-Dold character on generalized cohomology theories, further to (twisted, differential) non-abelian cohomology theories, where its target is a non-abelian de Rham cohomology of ...
D. Fiorenza, H. Sati, U. Schreiber
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Geometry of moduli spaces of Higgs bundles [PDF]
, 2006 We construct a Petersson-Weil type K\"ahler form on the moduli spaces of Higgs bundles over a compact K\"ahler manifold. A fiber integral formula for this form is proved, from which it follows that the Petersson-Weil form is the curvature of a certain ...
Biswas, Indranil, Schumacher, Georg
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