Upsilon invariants from cyclic branched covers

Antonio Alfieri, Daniele Celoria, Andras Stipsicz

Published 2018-09-21Version 1

We extend the construction of upsilon-type invariants to null-homologous knots in rational homology three-spheres. By considering $m$-fold cyclic branched covers with $m$ a prime power, this extension provides new knot concordance invariants $\Upsilon_m^C (K)$. We give computations of these invariants for some families of alternating knots and reprove some independence results.