4 papers
Balanced Metrics Know About SYZ
Per Berglund, Tristan Hübsch, Vishnu Jejjala +2
Numerical Ricci-flat metrics on Calabi-Yau manifolds are becoming increasingly accurate. However, they often lack the interpretability required to extract theoretical insights. In…
The Sharp Edges of Calabi-Yau Manifolds: Designing Symmetric Models for Ricci-flat Metrics
Viktor MirjaniÄ, Challenger Mishra
Computing Ricci-flat metrics on Calabi-Yau manifolds is challenging since no closed-form solutions are known. However, these computations are needed in order to make physical predi…
A remark on weighted average multiplicities in prime factorisation
Viktor MirjaniÄ, Daattavya Aggarwal, Challenger Mishra
We study a generalisation of the quality of an ABC triple that we call the weighted average multiplicity (WAM), in which the logarithmic heights of prime factors are raised to a co…
Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces
Viktor MirjaniÄ, Challenger Mishra
Ever since Yau's non-constructive existence proof of Ricci-flat metrics on Calabi-Yau manifolds, finding their explicit construction remains a major obstacle to development of both…