Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
K-theoretic Multiple Cover Formula on Calabi-Yau Threefold
You-Cheng Chou (Academia Sinica)
Abstract
In this talk, I will show that on Calabi-Yau threefold a genus K-theoretic Gromov-Witten invariants (KGW) 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 KGW 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.
Organizer: Pedro Núñez (NTU)
