Speaker: | You-Cheng Chou (Academia Sinica) |
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Title: | K-theoretic multiple cover formula on Calabi-Yau threefold |
Date (JST): | Wed, Oct 16, 2024, 15:30 - 17:00 |
Place: | Seminar Room A |
Abstract: |
In this talk, I will show that on Calabi-Yau threefold a genus zero quantum K-invariants (QK) can be written as linear combination of Gopakumar-Vafa invariants (GV) with coefficients from an explicit ”multiple cover formula”, conjectured by Jockers–Mayr and Garoufalidis– Scheidegger. Conversely, GV can be determined by QK in a similar manner. Such a relation preserves the integrality, which gives another proof of the integrality of GV at genus 0. This is a joint work with Yuan-Pin Lee. |