From the page titled, "Absolute Magnitude" and with the disclaimer on that page "not about the magazine,"  [emphasis mine to aid in finding the info]

> Absolute magnitude is the measure of intrinsic brightness of a
> celestial object. It is the hypothetical apparent magnitude of an
> object at a standard distance of exactly 10 parsecs (32.6 light years)
> from the observer, assuming no astronomical extinction of starlight.
> This places the objects on a common basis and allows the true energy
> output of astronomical objects to be compared without the distortion
> introduced by distance. As with all astronomical magnitudes, the
> absolute magnitude can be specified for different wavelength
> intervals; for stars the most commonly quoted absolute magnitude is
> the absolute visual magnitude, which uses only the visual (V) band of
> the spectrum (UBV system). Also commonly used is the **absolute
> bolometric magnitude**, which is the total luminosity expressed in
> magnitude units that takes into account energy radiated at all
> wavelengths, whether visible or not.

So in short, AbsMag is Visual Luminosity and AbsBol is Total Luminosity, Visual and Otherwise. (from comment by MiscellaneousUser)