Results 1 to 10 of about 1,579,341 (186)
Resurgence of Chern–Simons Theory at the Trivial Flat Connection [PDF]
Communications in Mathematical Physics, 2021 Some years ago, it was conjectured by the first author that the Chern–Simons perturbation theory of a 3-manifold at the trivial flat connection is a resurgent power series. We describe completely the resurgent structure of the above series (including the
Stavros Garoufalidis +3 more
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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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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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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
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Curvature properties of the Chern connection of twistor spaces [PDF]
, 2005 The twistor space \Z of an oriented Riemannian 4-manifold M admits a natural 1-parameter family of Riemannian metrics h_t compatible with the almost complex structures J_1 and J_2 introduced, respectively, by Atiyah, Hitchin and Singer, and Eells and ...
Johann Davidov +2 more
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Thermal Uhlmann-Chern number from the Uhlmann connection for extracting topological properties of mixed states [PDF]
Physical review B, 2018 The Berry phase is a geometric phase of a pure state when the system is adiabatically transported along a loop in its parameter space. The concept of geometric phase has been generalized to mixed states by the so called Uhlmann phase.
Yan He, Hao Guo, Chih-Chun Chien
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Generalized real-space Chern number formula and entanglement hamiltonian [PDF]
SciPost Physics, 2023 We generalize a real-space Chern number formula for gapped free fermions to higher orders. Using the generalized formula, we prove recent proposals for extracting thermal and electric Hall conductance from the ground state via the entanglement ...
Ruihua Fan, Pengfei Zhang, Yingfei Gu
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Topological linear response of hyperbolic Chern insulators [PDF]
SciPost PhysicsWe establish a connection between the electromagnetic Hall response and band topological invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless-Kohmoto-Nightingale-den Nijs (TKNN) formula.
Canon Sun, Anffany Chen, Tomáš Bzdušek, Joseph Maciejko
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Measuring topology from dynamics by obtaining the Chern number from a linking number [PDF]
Nature Communications, 2019 The connection between the topological properties of the ground state and non-equilibrium dynamics remains obscure. Here, Tarnowski et al. define and measure a linking number between static and dynamical vortices, which directly corresponds to the ground-
Matthias Tarnowski +6 more
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