Results 21 to 30 of about 864 (140)
Explicit construction of a Chern–Moser connection for CR manifolds of codimension two [PDF]
Annali di Matematica Pura ed Applicata, 2005 In the present paper we suggest an explicit construction of a Cartan connection for an elliptic or hyperbolic CR manifold M of dimension six and codimension two, i.e. a pair (P, w), consisting of a principal bundle P over M and of a Cartan connection form w on P, satisfying the following property: the (local) CR transformations of M are in one to one ...
Gerd Schmalz, Andrea Spiro
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Chern-Simons forms for R-linear connections on Lie algebroids
International Journal of Mathematics, 2011 This paper considers the Chern–Simons forms for [Formula: see text]-linear connections on Lie algebroids. A generalized Chern–Simons formula for such [Formula: see text]-linear connections is obtained. We apply it to define the Chern character and secondary characteristic classes for [Formula: see text]-linear connections of Lie algebroids.
Bogdan Balcerzak
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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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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 standard four-sphere, specifically on all bundles with second Chern number not equal to ...
Lorenzo Sadun, Jan Segert
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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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Chern-Simons classes of flat connections on supermanifolds
, 2007 In this note we define Chern-Simons classes of a superconnection $D+L$ on a complex supervector bundle $E$ such that $D$ is flat and preserves the grading, and $L$ is an odd endomorphism of $E$ on a supermanifold. As an application we obtain a definition of Chern-Simons classes of a (not necessarily flat) morphism between flat vector bundles on a ...
JN Iyer, Un Iyer
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Chern currents of singular connections associated with a section of a compactified bundle [PDF]
Indiana University Mathematics Journal, 1995 J. Zweck
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The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory
, 2014 We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In particular, we establish that the curvature acts as a first-order operator on the quantum spaces.
Jørgen Ellegaard Andersen +1 more
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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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Nullity distributions associated with Chern connection [PDF]
Publicationes Mathematicae Debrecen, 2016 The nullity distributions of the two curvature tensors \, $\overast{R}$ and $\overast{P}$ of the Chern connection of a Finsler manifold are investigated. The completeness of the nullity foliation associated with the nullity distribution $\N_{R^\ast}$ is proved. Two counterexamples are given: the first shows that $\N_{R^\ast}$ does not coincide with the
Youssef, Nabil Labib +1 more
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