On $p$-integrality of instanton numbers
Frits Beukers, Masha Vlasenko
TL;DR
This paper demonstrates the integrality of instanton numbers in mirror symmetry through elementary methods based on Dwork crystals, confirming key examples and advancing understanding in the field.
Contribution
It introduces elementary techniques to prove the integrality of instanton numbers in mirror symmetry, building on previous work with Dwork crystals.
Findings
Confirmed integrality of instanton numbers in several key mirror symmetry examples
Developed elementary methods based on Dwork crystals for proving integrality
Extended previous theoretical framework to new cases
Abstract
We show integrality of instanton numbers in several key examples of mirror symmetry. Our methods are essentially elementary, they are based on our previous work in the series of papers called Dwork crystals I, II and III.
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Taxonomy
TopicsMolecular spectroscopy and chirality · Crystallography and molecular interactions · Crystal Structures and Properties