Study of topological string theories

• Project/Area Number: 20840024
• Research Category: Grant-in-Aid for Young Scientists (Start-up)
• Allocation Type: Single-year Grants
• Research Field: Algebra
• Research Institution: Kyoto University
• Principal Investigator: KONISHI Yukiko Kyoto University, 大学院・理学研究科, 准教授 (30505649)
• Project Period (FY): 2008 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥2,626,000 (Direct Cost: ¥2,020,000、Indirect Cost: ¥606,000); Fiscal Year 2009: ¥1,248,000 (Direct Cost: ¥960,000、Indirect Cost: ¥288,000); Fiscal Year 2008: ¥1,378,000 (Direct Cost: ¥1,060,000、Indirect Cost: ¥318,000)
• Keywords: 弦理論 / ミラー対称性 / 混合ホッジ構造 / ホッジ構造 / カラビヤウ多様体

Research Abstract

The B-model in local mirror symmetry, which is a variant of ordinary mirror symmetry, deals with the variation of the mixed Hodge structures on the relative cohomology of affine curves of a certain type and its ambient space. Using results by Batyrev and Stienstra, the author gave a definition of the Yukawa coupling and proposed how to modify Bershadsky-Cecotti-Ooguri-Vafa's holomorophic anomaly equation for the local B-model.

Research Products

• [Journal Article] Higher genus Gromov-Witten invariants of the Grassmannian and the Pfaffian Calabi-Yau 3-folds (2009)
  • Author(s): Shinobu Hosono, Yukiko Konishi
  • Journal Title: Advances in Theoretical and Mathematical Physics 13 Pages: 463-495
  • Peer Reviewed
• [Presentation] Local B-model and Mixed Hodge Structure (2010)
  • Author(s): 小西由紀子
  • Organizer: Mirror Symmetry and Gromov-Witten theory
  • Place of Presentation: Seoul National 大学
  • Year and Date: 2010-01-13
• [Presentation] Local B-model and Mixed Hodge structures (2010)
  • Author(s): Yukiko Konishi
  • Organizer: Symplectic Geometry and Physics
  • Place of Presentation: Nankai University, 中国
• [Presentation] Local B-model and Mixed Hodge structures (2010)
  • Author(s): Yukiko Konishi
  • Organizer: Mirror Symmetry and Gromov-Witten theory
  • Place of Presentation: 韓国
• [Presentation] Local B-model and Mixed Hodge Structure (2009)
  • Author(s): 小西由紀子
  • Organizer: Focus week on new invariants and wall crossing
  • Place of Presentation: 数物連携宇宙連携機構
  • Year and Date: 2009-05-22
• [Presentation] Local B-model and Mixed Hodge structures (2009)
  • Author(s): Yukiko Konishi
  • Organizer: Focus Week on New Invariants and Wall Crossing
  • Place of Presentation: 数物連携宇宙研究機構
• [Presentation] Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau threefolds (2008)
  • Author(s): Yukiko Konishi
  • Organizer: The geometry and integrability of topological QFT and string theory
  • Place of Presentation: University of Warwick
  • Year and Date: 2008-04-05