JournalsjemsVol. 14, No. 4pp. 1181–1208

Non-slice linear combinations of algebraic knots

  • Matthew Hedden

    Michigan State University, East Lansing, USA

  • Paul Kirk

    Indiana University, Bloomington, United States

  • Charles Livingston

    Indiana University, Bloomington, USA
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Abstract

We show that the subgroup of the knot concordance group generated by links of isolated complex singularities intersects the subgroup of algebraically slice knots in an infinite rank subgroup.

Cite this article

Matthew Hedden, Paul Kirk, Charles Livingston, Non-slice linear combinations of algebraic knots. J. Eur. Math. Soc. 14 (2012), no. 4, pp. 1181–1208

DOI 10.4171/JEMS/330