MS Seminar (Mathematics - String Theory)

Speaker: Young-Hoon Kiem (National Seoul U)
Title: Localizing virtual cycles for Donaldson-Thomas invariants of Calabi-Yau 4-folds
Date (JST): Wed, Jan 13, 2021, 15:30 - 17:00
Place: Zoom
Related File: 2620.pdf
Abstract: Recently Jeongseok Oh and Richard Thomas constructed virtual cycles for moduli spaces of stable sheaves on Calabi-Yau 4-folds by which DT4 invariants may be defined. In this talk, I will explain how the virtual cycle localizes to the zero locus of an isotropic cosection of the obstruction sheaf. This localization may reduce the DT4 computations to simpler cases and gives us vanishing results for hyperkahler 4-folds. Based on a recent joint work with Hyeonjun Park at arXiv:2012.13167.