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High-dynamic-range surface photometry in a companion paper makes possibleaccurate measurement of the stellar light deficits L_def and mass deficitsM_def associated with the cores of elliptical galaxies. We show that L_defcorrelates with the velocity dispersion sigma of the host galaxy bulge averagedoutside the central region that may be affected by a supermassive black hole(BH). We confirm that L_def correlates with BH mass MBH. Also, the fractionallight deficit L_def/L correlates with MBH/M, the ratio of BH mass to the galaxystellar mass. All three correlations have scatter similar to or smaller thanthe scatter in the well known correlation between MBH and sigma. The newcorrelations are remarkable in view of the dichotomy between ellipticals withcores and those with central extra light. Core light deficit correlates closelywith MBH and sigma, but extra light does not. This supports the suggestion thatextra light Es are made in wet mergers with starbursts whereas core Es are madein dry mergers. After dry mergers, cores are believed to be scoured by BHbinaries that fling stars away as their orbits decay or by BHs that sink backto the center after recoiling from anisotropic gravitational radiation emittedwhen they merge. Direct evidence has been elusive. We interpret the newcorrelations as the "smoking gun" that connects cores with BHs. Together, theMBH - sigma and MBH - L_def correlations give us two independent ways toestimate BH masses in core ellipticals.

Correlations Between Supermassive Black Holes, Velocity Dispersions, and Mass Deficits in Elliptical Galaxies with Cores