2000 character limit reached
A discrete formulation for three-dimensional winding number
Published 8 Mar 2024 in cond-mat.mes-hall, hep-lat, math-ph, and math.MP | (2403.05291v3)
Abstract: For a smooth map (g: X \to U(N)), where (X) is three-dimensional, oriented, and closed manifold, the winding number is defined as (W_3 = \frac{1}{24\pi2} \int_{X} \mathrm{Tr}\left[(g{-1}dg)3\right]). We introduce a method to compute (W_3) using a discrete approximation of (X) that manifestly ensures the quantization of (W_3).
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