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Seminar
FIELD Math:Geometry
DATE February 25 (Thu), 2021
TIME 16:00-17:00
PLACE Online
SPEAKER Park, Hyeonjun
HOST Bhamidi, S.S Sreedhar
INSTITUTE 서울대학교
TITLE Localizing virtual cycles for Donaldson-Thomas invariants of Calabi-Yau 4-folds
ABSTRACT Recently, Oh-Thomas constructed a virtual cycle for a moduli space of stable sheaves on a Calabi-Yau 4-fold. In this talk, I will discuss how to localize the virtual cycle by an isotropic cosection and define a reduced virtual cycle when the cosection is surjective. Also, a vanishing result for a non-isotropic cosection will be discussed. I will explain how these results can be applied to various examples of cosections. This is joint work with Young-Hoon Kiem (arXiv:2012.13167).
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