Elliptic Virtual Structure Constants and Generalizations of BCOV-Zinger Formula to Projective Fano Hypersurfaces

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Hauptverfasser: Jinzenji, Masao, Kuwata, Ken
Format: Preprint
Veröffentlicht: 2024
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author Jinzenji, Masao
Kuwata, Ken
author_facet Jinzenji, Masao
Kuwata, Ken
contents In this paper, we propose a method for computing genus 1 Gromov-Witten invariants of Calabi-Yau and Fano projective hypersurfaces using the B-model. Our formalism is applicable to both Calabi-Yau and Fano cases. In the Calabi-Yau case, significant cancellation of terms within our formalism occurs, resulting in an alternative representation of the BCOV-Zinger formula for projective Calabi-Yau hypersurfaces.
format Preprint
id arxiv_https___arxiv_org_abs_2404_07591
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Elliptic Virtual Structure Constants and Generalizations of BCOV-Zinger Formula to Projective Fano Hypersurfaces
Jinzenji, Masao
Kuwata, Ken
Algebraic Geometry
High Energy Physics - Theory
Mathematical Physics
14N35
In this paper, we propose a method for computing genus 1 Gromov-Witten invariants of Calabi-Yau and Fano projective hypersurfaces using the B-model. Our formalism is applicable to both Calabi-Yau and Fano cases. In the Calabi-Yau case, significant cancellation of terms within our formalism occurs, resulting in an alternative representation of the BCOV-Zinger formula for projective Calabi-Yau hypersurfaces.
title Elliptic Virtual Structure Constants and Generalizations of BCOV-Zinger Formula to Projective Fano Hypersurfaces
topic Algebraic Geometry
High Energy Physics - Theory
Mathematical Physics
14N35
url https://arxiv.org/abs/2404.07591