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Structure in the classical knot concordance group |
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| Authors: | Email author&prev_q=Tim?D?Cochran |
| Institution: | (1) Department of Mathematics, Rice University, 1892, TX 77005-1892 Houston, Texas, USA;(2) Department of Mathematics, Indiana University, 47401 Bloomington, Indiana, USA;(3) Department of Mathematics, UC San Diego, 9500 Gilmon Drive, CA 92093-0112 La Jolla, California, USA |
| Abstract: | We provide new information about the structure of the abelian group of topological concordance classes of knots in $S^3$. One consequence is that there is a subgroup of infinite rank consisting entirely of knots with vanishing Casson-Gordon invariants but whose non-triviality is detected by von Neumann signatures. |
| Keywords: | 57M25 |
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