# The relative Whitney trick and its applications

@article{Davis2021TheRW, title={The relative Whitney trick and its applications}, author={Christopher William Davis and Patrick Orson and JungHwan Park}, journal={Selecta Mathematica}, year={2021}, volume={28} }

We introduce a geometric operation, which we call the relative Whitney trick, that removes a single double point between properly immersed surfaces in a 4-manifold with boundary.Using the relative Whitney trick we prove that every link in a homology sphere is homotopic to a link that is topologically slice in a contractible topological 4-manifold. We further prove that any link in a homology sphere is order k Whitney tower concordant to a link in S3\documentclass[12pt]{minimal} \usepackage…

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