6533b827fe1ef96bd128662e

RESEARCH PRODUCT

Local Gromov-Witten invariants are log invariants

Helge RuddatT. GraberMichel Van Garrel

subject

Pure mathematicsConjectureGeneral Mathematics010102 general mathematicsTangent01 natural sciencesMathematics - Algebraic GeometryMathematics::Algebraic Geometry14N35 14D06 53D45Line bundle0103 physical sciencesFOS: Mathematics010307 mathematical physics0101 mathematicsEquivalence (formal languages)QAAlgebraic Geometry (math.AG)Mathematics::Symplectic GeometryMathematics

description

We prove a simple equivalence between the virtual count of rational curves in the total space of an anti-nef line bundle and the virtual count of rational curves maximally tangent to a smooth section of the dual line bundle. We conjecture a generalization to direct sums of line bundles.

yearjournalcountryeditionlanguage
2019-07-09
10.1016/j.aim.2019.04.063.https://resolver.caltech.edu/CaltechAUTHORS:20190510-105529171