Friday Morning Seminar: Donaldson-Thomas invariants of [C^4/Z_r]

Speaker: Xiaolong Liu (Chinese Academy of Sciences)

Time: 2025-12-05 10:00-12:00
Location: 1610, SIMIS

Abstract:

In this talk I will review the DT4 theory and talk about the computations of zero-dimensional DT invariants of the quotient stack [C^4/Z_r], confirming a conjecture of Cao-Kool-Monavari. Our main theorem is established through an orbifold analogue of Cao-Zhao-Zhou’s degeneration formula combined with the zero-dimensional Donaldson-Thomas invariants for A_{r-1}×C^2 and an explicit determination of orientations of Hilbert schemes of points on [C^4/Z_r].