Special Seminar

Speaker: You-Cheng Chou (Academia Sinica)
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.