A geometric field theory unifies topology, intrinsic/extrinsic geometry, solitons, defect orientations, and elastic anisotropy in 2D nematics, showing that gauge non-invariance induces non-linear many-body defect interactions.
Farber,Topology of closed one-forms, no
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Defect Kinematics in 2D Nematics: Contributions from Surface Topology, Intrinsic and Extrinsic Geometry, Solitons, Defect Orientations, and Elastic Anisotropy
A geometric field theory unifies topology, intrinsic/extrinsic geometry, solitons, defect orientations, and elastic anisotropy in 2D nematics, showing that gauge non-invariance induces non-linear many-body defect interactions.