Topological behavior of 3D regular black hole with zero point length

In this work, we study the thermodynamics and topological classes of regular black holes (RBH) in three dimensions, with charge, zero point length and rotational parameters in canonical, mixed and grand canonical ensembles. We consider the RBH in three dimensions with zero point length as defects with a topological nature within the thermodynamic domain and examine the local and global topology. We found that for non -rotating 3D RBH, the total topological number is 1 in the canonical ensemble whereas 0 in mixed and grand canonical ensembles While for rotating (rot) 3D RBH, the total topological number is 1 in the canonical ensemble, 0 in mixed ensemble, whereas -1 in grand canonical ensemble. We also found that for j = 0, Q = 0 the topological number is +1.