Topological classification via winding numbers of a vector field from generalized off-shell free energy shows regular Bardeen black holes have two opposite defects and zero total charge while Schwarzschild has one unstable branch.
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Topological Thermodynamics of Generalized Bardeen Black Hole
Topological classification via winding numbers of a vector field from generalized off-shell free energy shows regular Bardeen black holes have two opposite defects and zero total charge while Schwarzschild has one unstable branch.