Observation of Berry curvature in non-Hermitian system from far-field radiation [PDF]
Nature CommunicationsBerry curvature that describes local geometrical properties of energy bands can elucidate many fascinating phenomena in solid-state, photonic, and phononic systems, given its connection to global topological invariants such as the Chern number.
Xuefan Yin +5 more
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L ∞-Algebra Connections and Applications to String- and Chern-Simons n-Transport [PDF]
, 2009 We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L-infinity algebras and use it to study the obstruction theory of lifts through higher String-like extensions of Lie algebras. We find (generalized) Chern-Simons and BF-theory functionals this way and describe aspects of their parallel transport and ...
Hisham Sati, Urs Schreiber, Jim Stasheff
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The Hodge Chern character of holomorphic connections as a map of simplicial presheaves [PDF]
Algebraic & Geometric Topology, 2022 We define a map of simplicial presheaves, the Chern character, that assigns to every sequence of composable non connection preserving isomorphisms of vector bundles with holomorphic connections an appropriate sequence of holomorphic forms. We apply this Chern character map to the Cech nerve of a good cover of a complex manifold and assemble the data by
Cheyne Glass +3 more
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Curvature Properties of the Chern Connection of Twistor Spaces
Rocky Mountain Journal of Mathematics, 2009 14 pages, to appear in Rocky Mountain J ...
Johann Davidov +2 more
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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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Regularization of closed positive currents of type (1,1) by the flow of a Chern connection [PDF]
, 1994 Jean-Pierre Demailly
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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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