Incentives for our Nation's Veterans in Energy Sustainability Technologies or the INVEST Act This bill amends the Internal Revenue Code to allow the work opportunity tax credit for the hiring of a specified veteran who works in a field of renewable energy. A "specified veteran" means any veteran who is certified as: (1) having received a credential or certification from the Department of Defense of a military occupational specialty or skill in a field of renewable energy or with respect to advanced manufacturing, machinist or welding, or engineering; (2) having completed a vocational degree in a field of renewable energy; or (3) having completed a LEED (Leadership in Energy & Environmental Design) certification with the United States Green Building Council. The Department of the Treasury shall pay: (1) each U.S. possession (i.e., American Samoa, Guam, the Commonwealth of the Northern Mariana Islands, the Commonwealth of Puerto Rico, and the U.S. Virgin Islands) with a mirror code tax system amounts equal to the loss to such possession due to this Act; and (2) each U.S. possession without such a tax system an amount estimated to equal the loss to such possession that would have occurred due to this Act if such a tax system had been in effect.