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(Abridged) We present an imaging and spectroscopic survey of galaxies infields around QSOs HE0226-4110, PKS0405-123, and PG1216+069. The fields areselected to have ultraviolet echelle spectra available, which uncover 195 Lyaabsorbers and 13 OVI absorbers along the three sightlines. We obtain robustredshifts for 1104 galaxies of rest-frame absolute magnitude M_R-5log h <~ -16and at projected physical distances rho <~ 4 h^{-1} Mpc from the QSOs.HST/WFPC2 images of the fields around PKS0405-123 and PG1216+069 are availablefor studying the optical morphologies of absorbing galaxies. Combining theabsorber and galaxy data, we perform a cross-correlation study to understandthe physical origin of Lya and OVI absorbers and to constrain the properties ofextended gas around galaxies. The results of our study are (1) both strong Lyaabsorbers of log N(HI) >= 14 and OVI absorbers exhibit a comparable clusteringamplitude as emission-line dominated galaxies and a factor of ~ 6 weakeramplitude than absorption-line dominated galaxies on co-moving projecteddistance scales of r_p < 3 h^{-1} Mpc; (2) weak Lya absorbers of log N(HI)<13.5appear to cluster very weakly around galaxies; (3) none of the absorption-linedominated galaxies at r_p <= 250 h^{-1} kpc has a corresponding OVI absorber toa sensitive upper limit of W(1031) < 0.03 A, while the covering fraction of OVIabsorbing gas around emission-line dominated galaxies is found to be kappa ~64%; and (4) high-resolution images of five OVI absorbing galaxies show thatthese galaxies exhibit disk-like morphologies with mildly disturbed features onthe edge.

Probing the IGM-Galaxy Connection at z < 0.5 I: A Galaxy Survey in QSO Fields and a Galaxy-Absorber Cross-Correlation Study