Final answer:
The Labor Management Reporting and Disclosure Act is the act with six titles that governs union operations and government involvement, including the creation of the National Labor Relations Board (NLRB) to resolve disputes and the right of workers to unionize and bargain collectively, as articulated in the Wagner Act.
Step-by-step explanation:
The act which has six titles covering union government and operations is the Labor Management Reporting and Disclosure Act. This act establishes procedures for establishing a union that firms are obligated to follow and sets up the National Labor Relations Board (NLRB) for deciding disputes. The common name given to the National Labor Relations Act due to its sponsorship by New York senator Robert Wagner is the Wagner Act. This important law protected the right of workers to create unions and bargain collectively with employers.
The Wagner Act also created the NLRB to enforce its provisions, ensuring protections for organizing in the workplace. Additionally, the Taft-Hartley Act, another significant labor law, can be used to impose an 80-day "cooling-off period" during labor disputes, allowing for negotiations to proceed without the threat of a work stoppage, as seen in the historical dispute involving longshoremen and port facilities in 2002.