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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/10040| Title: | 射影直線上的Gromov-Witten理論 The Gromov-Witten theory of P1 |
| Authors: | Kuan-Wen Lai 賴冠文 |
| Advisor: | 林惠雯(Hui-Wen Lin) |
| Keyword: | ELSV方程,Gromov-Witten理論,Hurwitz數,τ-函數,Toda階序,完備輪換,偏移對稱函數,無限維楔表示論, completed cycle,ELSV formula,Gromov-Witten theory,Hurwitz number,infinite wedge representation,shifted symmetric function,τ-function,Toda hierarchy, |
| Publication Year : | 2011 |
| Degree: | 碩士 |
| Abstract: | 在這篇文章中，我概述了關於Gromov-Witten不變量與Hurwitz數之間如何建立對應的工作，以及詳細探討Toda階序的Hirota方程。該階序能夠提供相當程度的遞迴關係以計算射影直線上的Gromov-Witten不變量。主要的參考文獻為A. Okounkov與R. Pandharipande的一系列論文[11, 12]。 In this article, I would like to outline the work about the correspondence between Gromov-Witten invariants and Hurwitz numbers, and concentrate mainly on the detailed study of Hirota equations for the Toda hierarchy which provides certain recurrence relations for relative Gromov-Witten invariants of P1. The papers of A. Okounkov and R. Pandharipande [11, 12] are the main sources of my study. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/10040 |
| Fulltext Rights: | 同意授權(全球公開) |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-100-1.pdf | 507.63 kB | Adobe PDF | View/Open |
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