%0 Journal Article %T On Free Knots %A Vassily Olegovich Manturov %J Mathematics %D 2009 %I arXiv %X We prove that for some knot-like objects one can easily recognize non-equivalence w.r.t. all Reidemeister moves by studying some equivalence classes modulo only 2nd Reidemeister moves. There are applications to virtual knots, graph-links and looped graphs. %U http://arxiv.org/abs/0901.2214v2