Tropical refined curve counting from higher genera and lambda classes

• 成果类型: Article
• 署名作者: Bousseau, Pierrick
• 署名单位: Imperial College London
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-018-0823-z
• 发表日期: 2019
• 页码: 1-79
• 关键词: gromov-witten invariants; stable logarithmic maps; donaldson-thomas theory; degeneration formula; pairs; geometry

摘要

Block and Gottsche have defined a q-number refinement of counts of tropical curves in R2. Under the change of variables q=eiu, we show that the result is a generating series of higher genus log Gromov-Witten invariants with insertion of a lambda class. This gives a geometric interpretation of the Block-Gottsche invariants and makes their deformation invariance manifest.