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NUMBER M17030
AUTHOR Kim, Min Hoon
TITLE An infinite-rank summand of knots with trivial Alexander polynomial
ARCHIVE arXiv:1604.04037
FILE  
JOURNAL JOURNAL OF SYMPLECTIC GEOMETRY, 2018
ABSTRACT We show that there exists a Z(infinity)-summand in the subgroup of the knot concordance group generated by knots with trivial Alexander polynomial. We use the gamma-invariant introduced by Ozsvath, Stipsicz and Szabo. For our computation, we give a sufficient condition for two satellite knots to have the identical gamma-invariant.
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