Results 11 to 20 of about 1,641,940 (221)
Connection between the winding number and the Chern number [PDF]
Chinese Journal of Physics, 2021 Bulk-edge correspondence is one of the most distinct properties of topological insulators. In particular, the 1D winding number $\n$ has a one-to-one correspondence to the number of edge states in a chain of topological insulators with boundaries. By properly choosing the unit cells, we carry out numerical calculation to show explicitly in the extended
Han‐Ting Chen +2 more
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Nullity distributions associated with Chern connection [PDF]
Publicationes Mathematicae Debrecen, 2014 The nullity distributions of the two curvature tensors \, $\overast{R}$ and $\overast{P}$ of the Chern connection of a Finsler manifold are investigated.
N. L. Youssef, S. G. Elgendi
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Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach [PDF]
Journal of Dynamical Systems and Geometric Theories, 2014 The Klein-Grifone approach to global Finsler geometry is adopted. A global existence and uniqueness theorem for Chern connection is formulated and proved. The torsion and curvature tensors of Chern connection are derived.
N. L. Youssef, S. G. Elgendi
semanticscholar +5 more sources
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
Observation of Berry curvature in non-Hermitian system from far-field radiation. [PDF]
Nat CommunBerry 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.
Yin X +5 more
europepmc +2 more sources
Connections on Lie groupoids and Chern–Weil theory [PDF]
Reviews in Mathematical Physics, 2023 Let [Formula: see text] be a Lie groupoid equipped with a connection, given by a smooth distribution [Formula: see text] transversal to the fibers of the source map. Under the assumption that the distribution [Formula: see text] is integrable, we define a version of de Rham cohomology for the pair [Formula: see text], and we study connections on ...
Indranil Biswas +3 more
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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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Symplectic Connections Induced by the Chern Connection
, 2013 Let $(M, )$ be a symplectic manifold and $F$ be a Finsler structure on $M$. In the present paper we define a lift of the symplectic two-form $ $ on the manifold $TM\backslash 0$, and find the conditions that the Chern connection of the Finsler structure $F$ preserves this lift of $ $.
Ebrahim Esrafilian +1 more
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Strong Connections and Chern-Connes Pairing¶in the Hopf-Galois Theory [PDF]
Communications in Mathematical Physics, 2001 30 pages ...
Ludwik Dąbrowski +2 more
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Relative Chern character number and super-connection
Topology and its Applications, 2017 manuscript ...
Dexie Lin
+7 more sources