Here is a story from Oregon in 2019, with some examples from earlier in history...
https://www.kezi.com/content/news/Oregon-Senate-officials-se...
> The tactic by the minority Republicans is rare in Oregon, but has been used throughout history, sometimes creating comical scenes. Abraham Lincoln once leapt out of a window in an attempt to deny a quorum when he was a lawmaker in Illinois. In Washington three decades ago, U.S. Sen. Bob Packwood (R-Oregon) was carried feet first into the Senate chamber after Democrats ordered the arrest of Republican senators who were denying a quorum.
"Arrest warrant" sounds extreme, but the arrest comes with no consequences other than the arrest itself, and is a public spectacle which both parties engage in. They willingly play both parts. It's not the absentee Democrats are going to be charged with a crime! They're just getting arrested to force them to come to the legislature. Both parties play this farce as the majority party, sending the sergeant-at-arms, and both parties play this farce as the minority party, hiding out at home or even other states to deny quorum to the majority party.
Missing from the article is any discussion over the reasons that Democrats are trying to stop progress in the Texas house. Usually, there is some issue... maybe it's the mask mandate ban in Texas, maybe it's something else.