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Coverings over Tori and Topological Approach to Klein's Resolvent Problem
Tori and Topological Klein's Resolvent Problem Algebraic Geometry
2011/9/14
Abstract: This work answers the question what coverings over a topological torus can be induced from a covering over a space of dimension $k$. The answer to this question is then applied in algebro-ge...
Some Properties of the Schur Multiplier with Algebraic Topological Approach
Schur multiplier Homotopy group Homology group
2011/2/21
In this paper, using a relationship between the Schur multiplier of a group G, the fundamental group, and the second homology group of the Eilenberg-MacLane space of G, we present new proofs for some ...
Topological approach toward quantum codes with realistic physical constraints
Topological approach toward quantum codes realistic physical constraints
2010/11/5
The following open problems, which concern a fundamental limit on coding properties of quantum codes with realistic physical constraints, are analyzed and partially answered here: (a) the upper bound ...
Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED)
axial-vector current Ward-Takahashi identity anomaly Atiyah-Singer index theorem
2009/8/13
A topological way to distinguish divergences of the Abelian axial-vector current in quantum field theory is proposed. By using the properties of the Atiyah-Singer index theorem, the non-trivial Jacobi...
A Topological Approach to the Stabilities of Isomeric Hückel and Mobius Type Cyclacenes
Topological Approach Stabilities of Isomeric Hückel Mobius Type Cyclacenes
2010/8/19
Within the constraints of Hückel molecular orbital theory, Hückel and Mobius type cyclacenes were investigated in terms of their angle of total p-electron energy, Op, and cos Op to find out how struct...