The local-orbifold correspondence for simple normal crossings pairs
For X a smooth projective variety and D=D1+…+Dn a simple normal crossings divisor, we establish a precise cycle-level correspondence between the genus zero local Gromov-Witten theory of the bundle ⊕ni=1OX(−Di) and the maximal contact Gromov-Witten theory of the multi-root stack XD,r⃗ . The proof is...
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| Hauptverfasser: | , , , |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
16 Mar 2021
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| In: |
Arxiv
Year: 2021, Pages: 1-14 |
| DOI: | 10.48550/arXiv.2103.09299 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.48550/arXiv.2103.09299 Verlag, kostenfrei, Volltext: http://arxiv.org/abs/2103.09299 
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| Verfasserangaben: | Luca Battistella, Navid Nabijou, Hsian-Hua Tseng and Fenglong You |
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| 520 | |a For X a smooth projective variety and D=D1+…+Dn a simple normal crossings divisor, we establish a precise cycle-level correspondence between the genus zero local Gromov-Witten theory of the bundle ⊕ni=1OX(−Di) and the maximal contact Gromov-Witten theory of the multi-root stack XD,r⃗ . 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. | ||
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