2023 - T2 - WS2 - Higher structures in enumerative geometry

Collection 2023 - T2 - WS2 - Higher structures in enumerative geometry

Organizer(s) Behrend, Kai ; Fantechi, Barbara
Date(s) 12/06/2023 - 16/06/2023
linked URL https://indico.math.cnrs.fr/event/7883/
5 19

QK = GV for CY3 at g=0

By Yuan-Pin Lee

In this talk, I will show that on a Calabi-Yau threefold (CY3) a genus zero quantum K-invariant (QK) can be written as an integral linear combination of a finite number of Gopakumar–Vafa BPS invariants (GV) with coefficients from an explicit multiple cover formula. Conversely, all Gopakumar–Vafa invariants can be determined by a finite number of quantum K-invariants in a similar manner. The technical heart is a proof of a remarkable conjecture by Hans Jockers and Peter Mayr. This result is consistent with the “virtual Clemens conjecture” for the Calabi–Yau threefolds. A heuristic derivation of the relation between QK and GV via the virtual Clemens conjecture and a “multiple cover formula” will also be explained. This is a joint work with You-Cheng Chou.

Information about the video

  • Date of publication 11/04/2024
  • Institution IHP
  • Language English
  • Format MP4

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback