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Aspects of Defect Topology in Smectic Liquid Crystals

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We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In addition we… Click to show full abstract

We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In addition we describe the combination rules for smectic point defects in two and three dimensions, showing how the broken translational symmetry of the smectic confers a path dependence on the result of defect addition.

Keywords: three dimensions; smectic liquid; aspects defect; topology; defect topology; topology smectic

Journal Title: Communications in Mathematical Physics
Year Published: 2019

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