Some bounds for the knot Floer $\tau$-invariant of satellite knots

TL;DR

This paper establishes new bounds on the tau-invariant of satellite knots in S^3 using four-dimensional techniques, contributing to the understanding of knot concordance and invariants.

Contribution

It introduces general bounds for the tau-invariant of satellite knots derived through four-dimensional methods, advancing knot theory research.

Findings

Derived bounds on the tau-invariant for satellite knots

Applied four-dimensional techniques to knot invariants

Enhanced understanding of knot concordance properties

Abstract

We use four dimensional techniques to derive general bounds on the $\tau$ invariant of a satellite knot in $S^{3}$.