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Direct proof of the mirror theorem for projective hypersurfaces up to degree 3 rational curves
Title: | Direct proof of the mirror theorem for projective hypersurfaces up to degree 3 rational curves |
Authors: | Jinzenji, Masao Browse this author |
Keywords: | Mirror theorem | Localization formula | Residue integral |
Issue Date: | Aug-2011 |
Publisher: | Elsevier B.V. |
Journal Title: | Journal of Geometry and Physics |
Volume: | 61 |
Issue: | 8 |
Start Page: | 1564 |
End Page: | 1573 |
Publisher DOI: | 10.1016/j.geomphys.2011.03.014 |
Abstract: | In this paper, we directly derive a generalized mirror transformation of projective hypersurfaces of up to degree 3, genus 0 Gromov-Witten invariants by comparing the Kontsevich's localization formula with residue integral representation of the virtual structure constants. We can easily generalize our method for the rational curves of arbitrary degree, except under combinatorial complexities. |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/46875 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 秦泉寺 雅夫
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