Zheheng Xiao

Generalized Mazur Patterns and Immersed Heegaard Floer Homology

Generalizing prior work of Levine, we give infinitely many examples of pattern knots P such that P(K) is not slice in any rational homology 4-ball, for any companion knot K. To show this, we establish a closed formula for the concordance invariants τ and ε of a family of satellit...