Geometrical Proof of Generalized Mirror Transformation of Projective Hypersurfaces
Masao Jinzenji (Okayama University)
TL;DR
This paper provides a geometric proof for the generalized mirror transformation relating genus 0 Gromov-Witten invariants of degree k hypersurfaces in complex projective space, enhancing understanding of mirror symmetry in algebraic geometry.
Contribution
It introduces a new geometric proof of the generalized mirror transformation for hypersurfaces, extending previous algebraic approaches.
Findings
Validated the mirror transformation through geometric methods
Connected Gromov-Witten invariants with mirror symmetry concepts
Provided a framework for future geometric proofs in mirror symmetry
Abstract
In this paper, we propose a geometrical proof of the generalized mirror transformation of genus 0 Gromov-Witten invariants of degree k hypersurface in CP^{N-1}.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Mathematics and Applications