Abstract
Let be the group of smooth concordance classes of topologically slice knots and suppose
is the bipolar filtration of . We show that has infinite rank, even modulo Alexander polynomial one knots. Recall that knots in (a topologically slice –bipolar knot) necessarily have zero –, – and –invariants. Our invariants are detected using certain –invariants associated to the –fold branched covers.
Citation
Tim D Cochran. Peter D Horn. "Structure in the bipolar filtration of topologically slice knots." Algebr. Geom. Topol. 15 (1) 415 - 428, 2015. https://doi.org/10.2140/agt.2015.15.415
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