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We prove a splitting formula that reconstructs the logarithmic Gromov–Witten invariants of simple normal crossing varieties from the punctured Gromov–Witten invariants of their irreducible components, under the assumption of the gluing strata being toric varieties. The formula is based on the punctured Gromov–Witten theory developed by Abramovich, Chen, Gross, and Siebert.
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Algebraic properties of real Gromov-Witten invariants
We describe properties of the previously constructed all-genus real Gromov-Witten theory in the style of Kontsevich-Manin’s axioms and other classical equations and reconstruction results of complex Gromov-Witten theory.
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- Award ID(s):
- 2301493
- PAR ID:
- 10587886
- Publisher / Repository:
- AIP Publishing
- Date Published:
- Journal Name:
- Journal of Mathematical Physics
- Volume:
- 66
- Issue:
- 1
- ISSN:
- 0022-2488
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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