Here is a weeping brown sedge before pruning. This sedge is best NOT cut to the ground. Just give it a mild hair cut with the long bladed pruning shears.
Below shows me preparing for a “ponytail” cut for the sedge. Using this method, the sedge is given an even cut very quickly. Cut the sedge so all the blades are no longer touching the ground. It’s up to you how severe you want to be, but beware too short of a cut could shock the plant and make it slow to recover. Remember, this is March and there is still some cold weather to come.
Here is the weeping sedge, after the mild cut. Notice the leaves of the sedge are shorter, not touching the ground. A fresh haircut, ready for spring!