COBRA and ERISA
Consolidated Omnibus Budget Reconciliation Act of 1985, or COBRA, is a law passed by the U.S. Congress, that mandates an insurance program giving some employees the ability to continue health insurance coverage after leaving the job, even if you quit or are fired. COBRA includes amendments to the Employee Retirement Income Security Act of 1974 (ERISA).
COBRA allows an employee who has been fired, changed jobs, or got divorced the ability to continue their health insurance for a limited time. It also applies to the family of a deceased employee. There are some legal requirements and time limits, so it's a good idea to investigate COBRA right away if you are in one of these circumstances.
Even though COBRA might allow you to continue your health insurance coverage, you will probably have to pay the entire premium including, what used to be, the employer's share.