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Seminar
FIELD Mathematics
DATE December 15 (Tue), 2020
TIME 10:30-11:30
PLACE Online
SPEAKER Cao, Yalong
HOST Oh, Jeongseok
INSTITUTE Kavli IPMU, The University of Tokyo
TITLE Gopakumar-Vafa type invariants for Calabi-Yau 4-folds
ABSTRACT Gopakumar-Vafa type invariants on Calabi-Yau 4-folds (which are non-trivial only for genus zero and one) are defined by Klemm-Pandharipande from Gromov-Witten theory, and their integrality is conjectured. In this talk, I will explain how to give a sheaf theoretical interpretation of them using counting invariants on moduli spaces of one dimensional stable sheaves. Based on joint works with D. Maulik and Y. Toda.
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