Rational curves on Calabi–Yau threefolds: Verifying mirror symmetry predictions. (September 2016)

• Record Type: Journal Article
• Authors: Hiep, Dang Tuan
• Is Part Of: Journal of symbolic computation. Volume 76(2016)
• Page Start: 65
• Page End: 83
• Publication Date: 2016-09
• Subjects: Gromov–Witten invariants -- Enumerative geometry -- Equivariant cohomology -- Bott's formula -- Calabi–Yau threefolds -- Rational curves -- Mirror symmetry -- Torus action; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2015.12.003
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: In this paper, the numbers of rational curves on general complete intersection Calabi–Yau threefolds in complex projective spaces are computed up to degree six. The results are all in agreement with the predictions made from mirror symmetry.