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

Masao Jinzenji

doi:10.1016/j.geomphys.2011.03.014

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

Masao Jinzenji

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1564-1573
Number of pages	10
Journal	Journal of Geometry and Physics
Volume	61
Issue number	8
DOIs	https://doi.org/10.1016/j.geomphys.2011.03.014
Publication status	Published - Aug 2011
Externally published	Yes

Keywords

Localization formula
Mirror theorem
Residue integral

ASJC Scopus subject areas

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

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10.1016/j.geomphys.2011.03.014

Cite this

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title = "Direct proof of the mirror theorem for projective hypersurfaces up to degree 3 rational curves",

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.",

keywords = "Localization formula, Mirror theorem, Residue integral",

author = "Masao Jinzenji",

year = "2011",

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doi = "10.1016/j.geomphys.2011.03.014",

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AB - 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.

KW - Localization formula

KW - Mirror theorem

KW - Residue integral

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JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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