Study on Mirror Symmetry and Geometry of Moduli Space

2015 Fiscal Year Final Research Report

• Project/Area Number: 25400061
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Geometry
• Research Institution: Hokkaido University
• Principal Investigator: Jinzenji Masao 北海道大学, 理学(系)研究科(研究院), 准教授 (20322795)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: ミラー定理 / グロモフ-ウィッテン不変量 / 留数積分表示 / 対角的寄与 / 射影空間内の超曲面

Outline of Final Research Achievements

I invented a recipe to cancel all the diagonal contributions, which are obstacles to represent genus 0 Gromov-Witten invariants of projective hypersurfaces in terms of residue integrals. Using this recipe, I completed residue integral representation of the Gromov-Witten invariants. This result enables me to give a direct and geometrical proof of the mirror theorem of projective hypersurfaces. But it seems to take a little more time to complete
the full paper on this result.

Free Research Field

数理物理学