A property of $γ$ curves derived from topology of relative trisected 4-manifolds

Hokuto Tanimoto

Published 2023-02-15Version 1

Any two $(g; 0, 0, k)$-trisected closed 4-manifolds are related to each other by cutting and regluing in regard to $\gamma$ curves by an element of the Torelli group. Moreover, Lambert-Cole showed that this element can be replaced by an element of the Johnson kernel. We consider similar situation in the relative case.