An infinite-rank summand of knots with trivial alexander polynomial

Min Hoon Kim, Kyungbae Park

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We show that there exists a Z∞-summand in the subgroup of the knot concordance group generated by knots with trivial Alexander polynomial. We use the Υ-invariant introduced by Ozsváth, Stipsicz and Szabó. For our computation, we give a sufficient condition for two satellite knots to have the identical Υ-invariant.

Original languageEnglish
Pages (from-to)1749-1771
Number of pages23
JournalJournal of Symplectic Geometry
Volume16
Issue number6
DOIs
StatePublished - 2018

Bibliographical note

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© 2018, International Press of Boston, Inc. All rights reserved.

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