There is an Epiphone ET270 on display at a Hard Rock.
It probably wasn't Kurt's but it does have have his autograph on the body. Kurt used an ET270 in the Sub Pop era In Bloom video and on the recording of Bleach. Also used for shows in the 1989 and 1990.
Kurt smashed his ET-270 at the Pyramid Club in New York.
Photographs depicting the event can be found here.
Thanks you Brian from livenirvana.com for the clarification.