  Chiral magnets give rise to the anti-symmetric Dzyaloshinskii-Moriya (DM)
interaction, which induces topological nontrivial textures such as magnetic
skyrmions. The topology is characterized by integer values of the topological
charge. In this work, we performed the Monte-Carlo calculation of a
two-dimensional model of the chiral magnet. A surprising upturn of the
topological charge is identified at high fields and high temperatures. This
upturn is closely related to thermal fluctuations at the atomic scale, and is
explained by a simple physical picture based on triangulation of the lattice.
This emergent topology is also explained by a field-theoretic analysis using
$CP^{1}$ formalism.
