Multiple cover formulas for abelian surfaces via correlated invariants

Abstract

We prove the multiple cover formula conjecture for abelian surfaces for a large class of insertions, including all stationary invariants. The proof uses the reduced degeneration formula expressing the invariants in terms of the correlated Gromov--Witten invariants previously introduced by the authors.

arXiv comment92 pages, updated with now a full proof of the conjecture, also stated in a class-version, and with simplified shorter proofs of the computations of Section 2, comments welcome