Conn. Gen. Stat. § 12-81cc

Any person who has established his or her entitlement to a property tax exemption under subdivision (19), (20), (22), (23), (24), (25), (26), (28) or (53) of section 12-81 or section 12-81g for a particular assessment year shall be issued a certificate as to such entitlement by the tax assessor of the relevant municipality. Such person shall be entitled to such exemption in any municipality in this state for such assessment year provided a copy of such certificate is provided to the tax assessor of any municipality in which such exemption is claimed and further provided such person would otherwise have been eligible for such exemption in such municipality if he or she had filed for such exemption as provided under the general statutes.