Gross — Remarks On Gluing Punctured Logarithmic Maps

We consider some well-behaved cases of the gluing formalism for punctured log stable maps of [ACGS1, ACGS2]. This gives a gluing formula for log Gromov-Witten invariants in a diverse set of cases; in particular, the gluing formulae of [LR01, Li02, KLR] become an easy special case. The last section gives an application of this gluing formalism to canonical wall structures for K3 surfaces as constructed in [GS8].