Strongly Invertible Knots, Equivariant Slice Genera, And An Equivariant Algebraic Concordance Group

Authors

Allison N. Miller, Swarthmore CollegeFollow
M. Powell

Document Type

Article

Publication Date

6-1-2023

Published In

Journal Of The London Mathematical Society

Abstract

We use the Blanchfield form to obtain a lower bound on the equivariant slice genus of a strongly invertible knot. For our main application, let K be a strongly invertible genus one slice knot with nontrivial Alexander polynomial. We show that the equivariant slice genus of an equivariant connected sum #^{nK is at least n/4. 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.}

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Comments

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Recommended Citation

Allison N. Miller and M. Powell. (2023). "Strongly Invertible Knots, Equivariant Slice Genera, And An Equivariant Algebraic Concordance Group". Journal Of The London Mathematical Society. Volume 107, Issue 6. 2025-2053. DOI: 10.1112/jlms.12732
https://works.swarthmore.edu/fac-math-stat/299