2025/04/13 by Pim Spelier, Spelier, Pim
Engineering · #Algebraic Geometry (math.AG) #FOS: Mathematics #Material Science and Thermodynamics
paper · pdf · doi:10.48550/arxiv.2504.09726
openalex publication_date 2025/04/13 · openalex created_date 2025/10/14 · openalex updated_date 2026/07/28
The logarithmic double ramification cycle is roughly a logarithmic Gromov--Witten invariant of ℙ1. For classical Gromov--Witten invariants, formulas for the pullback along the gluing maps have been invaluable to the theory. For logarithmic Gromov--Witten invariants, such formulas have not yet been found. One issue is the fact that log stable maps cannot be glued. In this paper, we use the framework from [HS23] for gluing pierced log curves (a refinement of classical log curves) to give formulas for the pullback of the (log) (twisted) double ramification cycle along the loop gluing map.