Given the subject matter, I was surprised that the first three authors were in mathematics departments; then I found out why. This is some serious brain hacking here.
I think the title should be the paper's title, What Geometric Visual Hallucinations Tell Us about the Visual Cortex. I don't see anything about illusions.
That's correct, I accidentally copied my initial (and wrong) Google query into the title. I can't change the title now, however, even though it's only 40 minutes ago that I submitted it. I think the admins locked the title after they've changed the year/pdf tag.