  We used the Gemini Multi-Object Spectrograph Integral Field Unit to map the
gas distribution, excitation and kinematics within the inner kiloparsec of four
nearby low-luminosity active galaxies: NGC3982, NGC4501, NGC2787 and NGC4450.
The observations cover the spectral range 5600-7000{\AA} at a velocity
resolution of 120km/s and spatial resolution ranging from 50 to 70pc at the
galaxies. Extended emission in H{\alpha}, [NII]{\lambda}{\lambda}6548,6583,
[SII]{\lambda}{\lambda}6716,6730 over most of the field-of-view is observed for
all galaxies, while only NGC3982 shows [OI]{\lambda}6300 extended emission. The
H{\alpha} equivalent widths combined with the [NII]/H{\alpha} line ratios
reveal that NGC3982 and NGC4450 harbor Seyfert nuclei surrounded by regions
with LINER excitation, while NGC2787 and NGC4501 harbor LINER nuclei. NGC3982
shows a partial ring of recent star-formation at 500pc from the nucleus, while
in NGC4501 a region at 500pc west of the nucleus shows LINER excitation but has
been interpreted as an aging HII region with the gas excitation dominated by
shocks from supernovae. The line-of-sight velocity field of the gas shows a
rotation pattern for all galaxies, with deviations from pure disk rotation
observed in NGC3982, NGC4501 and NGC4450. For NGC4501 and NGC4450, many of
these deviations are spatially coincident with dust structures seen in optical
continuum images, leading to the interpretation that the deviations are due to
shocks in the gas traced by the dust. A speculation is that these shocks lead
to loss of angular momentum, allowing the gas to be transferred inwards to feed
the AGN. In the case of NGC2787, instead of deviations in the rotation field,
we see a misalignment of 40{^\circ} between the orientation of the line of
nodes of the gas rotation and the photometric major axis of the galaxy.
Evidence of compact nuclear outflows are seen in NGC4501 and NGC4450.
