論文

査読有り
2012年12月

DISK COUNTING ON TORIC VARIETIES VIA TROPICAL CURVES

AMERICAN JOURNAL OF MATHEMATICS
  • Takeo Nishinou

134
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
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000320010400001&DestApp=WOS_CPL
ID情報
  • ISSN : 0002-9327
  • Web of Science ID : WOS:000320010400001

エクスポート
BibTeX RIS