Curve counting via stable objects in derived categories of Calabi-Yau 4-folds

15 January 2020
Yalong Cao

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In a joint work with Davesh Maulik and Yukinobu Toda, we proposed a conjectural Gopakumar-Vafa type formula for the generating series of stable pair invariants on Calabi-Yau 4-folds. In this talk, I will present the recent joint work with Yukinobu Toda on how to give an interpretation of the above GV type formula in terms of wall-crossing phenomena in the derived category of coherent sheaves. 

  • Algebraic Geometry Seminar