Stellar Black Hole Binaries in the Gravitational Universe - Part 2
De Monica Colpi
Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints (4/4)
De Albert Schwarz
De Yuan-Pin Lee
Apparaît dans la collection : 2023 - T2 - WS2 - Higher structures in enumerative geometry
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.