Lifting wood, I love these! PVA glue, syringe and parcel tape will fix that Fill the lifted area with PVA glue (using a syringe to get it further into the area if required) then wrap tightly with parcel tape to get it flat. Leave overnight (at least, 24 hours is preferable) then remove the tape. Give the bat a sand so the face is level and the excess glue is gone. I then personally apply fibreglass tape over the area, or even a fibreglass scuff sheet, but people on here don't seem to like those...