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Direct proof of the mirror theorem for projective hypersurfaces up to degree 3 rational curves

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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)

Submitter: 秦泉寺 雅夫

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