  The nematic-superconductor state is an example of a quantum liquid crystal
that breaks gauge as well as rotation invariance. It was conjectured to exist
in the pseudogap regime of the cuprates high $T_c$ superconductors. The
nematic-superconductor state is characterized by two complex order parameters:
one of them is related with superconductivity and the other one describes a
nematic order. It supports two main classes of topological defects:
half-vortices and disclinations. In this paper we present a Ginzburg-Landau
approach to study the structure of these topological defects. Due to a
geometrical coupling between the superconductor and the nematic order
parameters, we show that vortices are strongly coupled with disclinations. We
have found a restoring force between vortices and disclinations that produces
harmonic excitations whose natural frequency depends on the geometrical
coupling constant and the superconductor condensation energy. Moreover, in a
regime with high density of defects, we have found a structural phase
transition between vortex-disclination lattices with different symmetries.
