Descendant log Gromov-Witten invariants for toric varieties and tropical curves
By Travis Mandel, Helge Ruddat. Transactions of the American Mathematical Society, 2016
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Using degeneration techniques, we prove the correspondence of tropical curve counts and log Gromov-Witten invariants with general incidence and psi-class conditions in toric varieties for genus zero curves. For higher-genus situations, we prove the correspondence for the non-superabundant part of the invariant. We also relate the log invariants to the ordinary ones, in particular explaining the appearance of negative multiplicities in the descendant correspondence result of Mark Gross.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/79751d57b6dfb767bd3f918f5fe07249fde346dc
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Citations in the corpus
- Logarithmic Gromov–Witten theory with expansions (2019, background): “I have benefited from conversations with L. Battistella, D. Bejleri, Q. Chen, R. Cavalieri, M. van Garrel, N. Nabijou, S. Marcus, H. Markwig, S. Molcho, R. Pandharipande, H. Ruddat, and M. Talpo.”