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Gauss-Manin system and the virtual structure constants
| Title: | Gauss-Manin system and the virtual structure constants |
| Authors: | Jinzenji, M. Browse this author |
| Issue Date: | Sep-2001 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 539 |
| Start Page: | 1 |
| End Page: | 25 |
| Abstract: | In this paper, we discuss some applications of Givental 's differential equations to enumerative problems on rational curves in projective hypersurfaces. Using this method, we prove some of the conjectures on the structure constants of quantum cohomology of projective hypersurfaces, proposed in our previous article. Moreover, we clarify the correspondence between the virtual structure constants and Givental's differential equations when the projective hypersurface is Calabi-Yau or general type. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69288 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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