4 citations · 4 across the 4 of their papers we have counts for
3 papers · 1 filter
Analysis of Hopf solitons as generalized fold maps
Yuta Nozaki, Darian Hall, Ivan I. Smalyukh +1
The Hopf index, a topological invariant that quantifies the linking of preimage fibers, is fundamental to the structure and stability of hopfions. In this work, we propose a new ma…
Homotopy classification of knotted defects in bounded domains
Yuta Nozaki, David Palmer, Yuya Koda
Nozaki et.~al.\ gave a homotopy classification of the knotted defects of ordered media in three-dimensional space by considering continuous maps from complements of spatial graphs…
Homotopy classification of knotted defects in ordered media
Yuta Nozaki, Tamás Kálmán, Masakazu Teragaito +1
We give a homotopy classification of the global defects in ordered media, and explain it via the example of biaxial nematic liquid crystals, i.e., systems where the order parameter…