منابع مشابه
Chern numbers of Chern submanifolds
We present a solution of the generalized Hirzebruch problem on the relations between the Chern numbers of a stably almost complex manifold and the Chern numbers of its virtual Chern submanifolds.
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متن کاملChern numbers of the Chern submanifolds
We solve the generalized Milnor–Hirzebruch problem on the relations between Chern numbers of an arbitrary stably almost complex manifold and Chern numbers of its virtual Chern submanifolds. As a corollary we derive new divisibility conditions for Chern classes of an arbitrary complex vector bundle over a stably almost complex manifold. Introduction The generalized Milnor–Hirzebruch problem was ...
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In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave f...
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Recently applications of the Chern number have attracted a lot of interest. The notable example is the quantum Hall effect. It can be argued that the precise quantization of Hall conductance should be related to topological nature of the systems. In fact the quantization of the Hall conductance in two-dimensional periodic potentials was proved by using the Kubo formula by Thouless, Kohmoto, Nig...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2011
ISSN: 0003-4916
DOI: 10.1016/j.aop.2011.07.002