Search for low-spin signature inversion in the πi13/2 ⊗ νi13/2 bands in odd-odd 182,184,186 Au has been conducted through the standard in-beam γ-spectroscopy techniques. The experiments for 182 Au and 186 Au have been performed in the Japan Atomic Energy Agency (JAEA) via the 152 Sm (35 Cl ,5 n )182 Au and 172 Yb (19 F ,5 n )186 Au reactions, respectively. A study of 184 Au has been made using a multi-detector array GASP in LNL, Italy, via the 159 Tb (29 Si ,4 n )184 Au reaction. The πi13/2 ⊗ νi13/2 bands in these three nuclei have been identified and extended up to high-spin states. In particular, the inter-band connection between the πi13/2 ⊗ νi13/2 band and the ground-state band in 184 Au has been established, leading to a firm spin-and-parity assignment for the πi13/2 ⊗ νi13/2 band. The low-spin signature inversion is found in the πi13/2 ⊗ νi13/2 bands in 182,184,186 Au according to our spin-assignment and the signature crossing observed at high-spin states.