Michelle Williams Denies Romance with Ryan Gosling

05/20/2010 at 03:25 PM EDT

Michelle Williams Denies Romance with Ryan Gosling
Michelle Williams and Ryan Gosling
John Shearer/Getty
After getting touchy-feely in Cannes, Michelle Williams and Ryan Gosling created buzz that they could be more than just costars, prompting this response from Gosling's rep: "He is cozy with everyone!"

Now Williams's camp is setting the record straight. "They are not dating," her rep tells PEOPLE.

The romance talk started back in January at the Sundance Film Festival where their film, Blue Valentine, premiered – they showed obvious chemistry at a cast dinner – then continued at Cannes where they held hands on red carpets.

Reporting by JULIE JORDAN

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