“The line of our accomplishments sends a strong message to employers all over the globe that Wisconsin and her people stand Open for Business,” Mr. Walker said in the statement.

Democrats in Wisconsin scoffed, loudly, at the governor’s assessment.

“I don’t know what his definition of productivity is — he is certainly taking the state backwards as fast as he can,” said State Senator Fred A. Risser, a lawmaker since the 1950s and a Democrat. “He has created more volatility and divisiveness than any governor I can remember.”

One thing is certain: Mr. Walker, who was a county executive relatively unknown outside Wisconsin until January, has become a national figure in a short time.

His place, at the uncompromising center of an effort to curtail collective-bargaining rights for public workers, has made him a hero to some conservatives. Representative Darrell Issa, Republican of California, has invited Mr. Walker to testify Thursday before the House Committee on Oversight and Government Reform in Washington.

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It also has made Mr. Walker the focus of anger from union supporters and Democrats, who opposed the collective-bargaining bill, which passed through the Republican-controlled Legislature last month but is tied up in court and has yet to go into effect.

The uproar has prompted recall efforts against state legislators in both parties.

But nowhere was the collective bargaining controversy felt more strongly than in the State Supreme Court election, which was supposed to be nonpartisan, but became — and remains — the subject of intense and partisan debate. The court may ultimately decide the legal issues surrounding Mr. Walker’s collective-bargaining bill, and with Justice Prosser’s presence, many had viewed the court as having a 4-to-3 conservative tilt.

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So for many, the April 5 election became a vote on Mr. Walker’s agenda.

Right after the vote, an unofficial tally showed Justice Prosser, who was once a Republican leader in the State Assembly, almost dead even with JoAnne Kloppenburg, a less-known challenger championed by liberals.

A day after the election, Ms. Kloppenburg declared victory (with a 204-vote lead among more than 1.4 million votes cast). But a day after that, the clerk from Waukesha County, Kathy Nickolaus, announced that she had made an error.

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Ms. Nickolaus said she had failed to press “save” on her computer at one point on election night, meaning that the city of Brookfield (more than 14,000 votes) had been omitted from the early, unofficial count.

The shift in Waukesha County gave Justice Prosser a lead of more than 7,000 votes, which seemed likely to give him the victory.

Lingering questions over the election for the court have only extended the state’s turmoil: On Tuesday, Waukesha County’s Democratic chairman, Victor Weers, called on Ms. Nickolaus, who once worked for the Republican Caucus in the State Assembly, to resign, saying the public had lost confidence that their votes would count. Ms. Nickolaus apologized for her mistake but refused to step down.

Officials with the Government Accountability Board that oversees Wisconsin’s elections said they were investigating what had occurred in Waukesha County.

“We don’t see at this point any criminal activity,” Kevin J. Kennedy, the board’s director, told reporters on Monday. “But we certainly see practices that need to be changed to bolster public confidence.”

Justice Prosser has yet to declare victory, and the prospect of more turmoil remains. Both sides have begun seeking guidance for the possibility of a recount after the final vote is announced.