The Supreme Court on Thursday blocked a Louisiana law that its opponents say would leave the state with a single doctor authorized to perform abortions, the latest development in the national legal fight over the fate of abortion law under a conservative-leaning court.

Louisiana’s law, which requires that doctors performing abortions have admitting privileges at nearby hospitals, was enacted in 2014. But in recent days and weeks, there has been a flurry of new state legislation that could prove important if the nation’s highest court rules on more abortion-related cases.

Since the nomination of Brett M. Kavanaugh to the Supreme Court in July, abortion rights groups have warned of a threat to Roe v. Wade, the landmark 1973 ruling that made abortion legal nationwide, prompting some states to try to shore up access to the procedure. Anti-abortion groups have been pushing for more restrictions.

Here is the status of some recent state abortion legislation.

In some states, lawmakers have sought to pass laws that would ban or severely restrict abortion in the event that Roe v. Wade is eventually overturned or effectively gutted.