The degeneration formula for stable log maps-Reference-Cited by-同舟云学术

The degeneration formula for stable log maps

Published:2021-12-28 Issue: Volume: Page:
ISSN:0025-2611
Container-title:manuscripta mathematica
language:en
Short-container-title:manuscripta math.

Author:

Kim Bumsig,Lho Hyenho,Ruddat Helge^ORCID

Abstract

AbstractWe give a direct proof for the degeneration formula of Gromov–Witten invariants including its cycle version for degenerations with smooth singular locus in the setting of stable log maps of Abramovich-Chen, Chen, Gross–Siebert.

Funder

Deutsche Forschungsgemeinschaft

ERC

KIAS individual grant

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00229-021-01361-z.pdf

Reference39 articles.

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3. Abramovich, D., Chen, Q., Gross, M., Siebert, B.: Punctured logarithmic maps. arxiv:2009.07720

4. Abramovich, D., Fantechi, B.: Orbifold techniques in degeneration formulas. Ann. Sc. Norm. Super. Pisa Cl. Sci. XVI(5), 519–579 (2016)

5. Abramovich, D., Marcus, S., Wise, J.: Comparison theorems for Gromov–Witten invariants of smooth pairs and of degenerations. Annales de l’institut Fourier 64(4), 1611–1667 (2014)

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