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An infinite-rank summand from iterated Mazur pattern satellite knots

Authors :
Chen, Wenzhao
Publication Year :
2020

Abstract

We show there exists a topologically slice knot $K$ such that the knots $\{M^n(K)\}_{n=0}^\infty$ obtained by iterated satellite operations by the Mazur pattern span an infinite-rank summand of the smooth knot concordance group. This answers a question raised by Feller-Park-Ray.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2010.11277
Document Type :
Working Paper