Results 1 to 10 of about 1,746,076 (246)
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
semanticscholar +6 more sources
A symmetric Finsler space with Chern connection [PDF]
arXiv, 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
arxiv +5 more sources
Chern-Simons forms for R-linear connections on Lie algebroids [PDF]
arXiv, 2011 The Chern-Simons forms for R-linear connections on Lie algebroids are considered. A generalized Chern-Simons formula for such R-linear connections is obtained. We it apply to define Chern character and secondary characteristic classes for R-linear connections of Lie algebroids.
Bogdan Balcerzak
arxiv +6 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
openalex +4 more sources
Relative Chern character number and super-connection
Topology and its Applications, 2017 manuscript ...
Dexie Lin
+7 more sources
Strong Connections and Chern-Connes Pairing¶in the Hopf-Galois Theory [PDF]
Communications in Mathematical Physics, 2001 30 pages ...
Ludwik Dąbrowski +2 more
openalex +5 more sources
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
openalex +4 more sources
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
openalex +3 more sources
Adiabatic continuity between Hofstadter and Chern insulator states [PDF]
Phys. Rev. B 86, 165129 (2012), 2012 We show that the topologically nontrivial bands of Chern insulators are adiabatic cousins of the Landau bands of Hofstadter lattices. We demonstrate adiabatic connection also between several familiar fractional quantum Hall states on Hofstadter lattices and the fractional Chern insulator states in partially filled Chern bands, which implies that they ...
J. K. Jain +6 more
arxiv +3 more sources
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
openalex +4 more sources