Disk counting on toric varieties via tropical curves

Takeo Nishinou

研究成果: Article査読

7 被引用数 (Scopus)

抄録

In this paper, we define two numbers. One is defined by counting tropical curves with a stop, and the other is the number of holomorphic disks in toric varieties with Lagrangian boundary condition. Both of these curves should satisfy some incidence conditions. We show that these numbers coincide. These numbers can be considered as Gromov-Witten type invariants for holomorphic disks, and they have similarities as well as differences to the counting numbers of closed holomorphic curves. We study several aspects of them.

本文言語English
ページ(範囲)1423-1472
ページ数50
ジャーナルAmerican Journal of Mathematics
134
6
DOI
出版ステータスPublished - 2012 12 1

ASJC Scopus subject areas

  • 数学 (全般)

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