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Jan 20, 2012 at 19:22 vote accept Jim Conant
Jan 20, 2012 at 18:58 answer added Paul timeline score: 4
Jan 20, 2012 at 18:08 comment added Ian Agol I don't know the reference, but if it's any help, one can show that there is a minimal-genus Seifert surface left invariant by the involution. Also, the involution must have fixed point set an unknot by the Smith conjecture, so your knot is a branched cover over some other knot.
Jan 20, 2012 at 16:33 history asked Jim Conant CC BY-SA 3.0