Rotational structures in 129 Nd and signature splitting systematics of the ν h 1 1 / 2 bands in A ∼ 130 nuclei

High-spin states in ${}^{129}\mathrm{Nd}$ were populated in the reaction ${}^{92}\mathrm{Mo}{(}^{40}\mathrm{Ca},2pn)$ with beam energies of 170 and 184 MeV in two separate experiments. Over 140 new transitions were placed in a level scheme that consists of four rotational structures, three of which have been observed for the first time. The bands were assigned configurations based on their $B(M1)/B(E2)$ ratios (for the strongly coupled bands), aligned angular momentum, observed band crossings, and signature splitting. Evidence for of the observation of the deformation driving $\ensuremath{\nu}{i}_{13/2}[660]1/2$ orbital is presented. Signature splitting trends in the $\ensuremath{\nu}{h}_{11/2}$ bands of $A\ensuremath{\sim}130$ nuclei are investigated within the framework of the cranked shell model. Comparisons are made with observations in the $\ensuremath{\pi}{h}_{11/2}$ bands near $A\ensuremath{\sim}160.$