Homotopy Theory of Defects in Ordered Media

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概要

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• Homotopy theory has been applied to the problem of ring defects in ordered media. For example, to the classification of point defects in 3-dimensional ordered media, the homotopy group π_2(X) is essential, where X is an order parameter space. For ring defects, the group π_2(X), which is the homotopy set of mappings from R^3＼{unknotted ring} to X[1], developed in Nakanishi et al. [3], is essential. In this note, we consider a higher dimensional version of τ_2(X) and apply it to the prblem of creation-annihilation of defects in ordered media.

• 明治大学の論文

著者

• 林 喜代司

  School of Commerce, Meiji University

関連論文

• Homotopy Theory of Defects in Ordered Media

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