For X a smooth projective variety and a simple normal crossing divisor, we establish a precise cycle-level correspondence between the genus local Gromov-Witten theory of the bundle and the maximal contact Gromov-Witten theory of the multiroot stack. The proof is an implementation of the rank-reduction strategy. We use this point of view to clarify the relationship between logarithmic and orbifold invariants.
The Local-Orbifold Correspondence for Simple Normal Crossing Pairs / Battistella L.; Nabijou N.; Tseng H.-H.; You F.. - In: JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU. - ISSN 1474-7480. - STAMPA. - 22:5(2023), pp. 2515-2531. [10.1017/S1474748022000172]
The Local-Orbifold Correspondence for Simple Normal Crossing Pairs
Battistella L.;
2023
Abstract
For X a smooth projective variety and a simple normal crossing divisor, we establish a precise cycle-level correspondence between the genus local Gromov-Witten theory of the bundle and the maximal contact Gromov-Witten theory of the multiroot stack. The proof is an implementation of the rank-reduction strategy. We use this point of view to clarify the relationship between logarithmic and orbifold invariants.| File | Dimensione | Formato | |
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