2012年12月
DISK COUNTING ON TORIC VARIETIES VIA TROPICAL CURVES
AMERICAN JOURNAL OF MATHEMATICS
- 巻
- 134
- 号
- 6
- 開始ページ
- 1423
- 終了ページ
- 1472
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- JOHNS HOPKINS UNIV PRESS
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.
- リンク情報
- ID情報
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- ISSN : 0002-9327
- Web of Science ID : WOS:000320010400001