3 problems
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The bipolar-filtration conjecture for knot reversal
Let be the group of topologically slice knots, let be its bipolar filtration, and let … The map denotes knot reversal, and…
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Infinite 2-torsion in successive quotients of the bipolar filtration
A knot is -positive (respectively, -negative) if it bounds a smoothly embedded disk in a simply connected, positive-definite (respectively, negative-definite) four-manifo…
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Conjecture that the bipolar filtration quotients are non-trivial
Let be the concordance subgroup of topologically slice knots, and let … be its bipolar filtration, where consists of concordance classes that are…