Workers at three Manhattan polling site received emails threatening a terror attack Tuesday — but an NYPD source said investigators believe it’s part of a hoax to drum up fear on Election Day .

No polling sites have been shut down, the source said, with voting continuing as the NYPD and federal authorities try to figure out who is behind the emails.

The emails were sent between 6 a.m. and 9:30 a.m. to the Board of Elections and were opened by polling site workers in Harlem, Greenwich Village and Midtown East, the source said.

The emails did not reference any of the three mayoral candidates.

“We believe it’s an elaborate swatting attempt,” the NYPD source said. “The emails make terroristic threats.”

Swatting is a form of cyber harassment designed to trigger a major law enforceme

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