Higher genus relative Gromov--Witten theory and DR-cycles

Abstract

We extend the definition of relative Gromov--Witten invariants with negative contact orders to all genera. Then we show that relative Gromov--Witten theory forms a partial CohFT. Some cycle relations on the moduli space of stable maps are also proved.

30 pages. Minor changes. Comments are welcome. arXiv admin note: text overlap with arXiv:1810.06952