Doubly slice knots and metabelian obstructions

An [Formula: see text]-dimensional knot text] is called doubly slice if it occurs as the cross section of some unknotted knot. For every unknown which knots are slice, and this remains one biggest unsolved problems in high-dimensional theory. text], we use signatures coming from text]-cohomology to develop new obstructions for with metabelian groups be slice. each construct an infinite family on our nonzero, but double sliceness not obstructed by any previously known invariant.