Affiliation:
1. Department of Mathematics & Statistics Swarthmore College Swarthmore Pennsylvania USA
2. School of Mathematics and Statistics University of Glasgow Glasgow UK
Abstract
AbstractWe use the Blanchfield form to obtain a lower bound on the equivariant slice genus of a strongly invertible knot. For our main application, let be a strongly invertible genus one slice knot with nontrivial Alexander polynomial. We show that the equivariant slice genus of an equivariant connected sum is at least . We also formulate an equivariant algebraic concordance group, and show that the kernel of the forgetful map to the classical algebraic concordance group is infinite rank.
Funder
Engineering and Physical Sciences Research Council
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