Title	DT/PT correspondence for Calabi-Yau 4-folds
Creator	Kool, Martijn
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-20T10:47
Description	Hilbert schemes and stable pair moduli spaces on compact Calabi-Yau 4-folds have a virtual class, which was constructed in special cases by Cao-Leung and in general by Borisov-Joyce. We conjecture a DT/PT correspondence for the resulting invariants. On toric Calabi-Yau fourfolds, we conjecture a K-theoretic enhancement of this correspondence using invariants which were recently discovered in the case of Hilbert schemes of points by Nekrasov. Using dimensional reduction, we recover Nekrasov-Okounkov's K-theoretic DT/PT correspondence for toric threefolds. Joint work with Y. Cao and S. Monavari.
Extent	61.0 minutes
Subject	Mathematics; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universiteit Utrecht
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-05-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390910
URI	http://hdl.handle.net/2429/74512
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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