MS Seminar (Mathematics - String Theory)

Speaker: 【Cancelled】Martijn Kool (Utrecht U.)
Title: DT/PT correspondence for Calabi-Yau 4-folds
Date: Wed, Mar 11, 2020, 13:15 - 14:45
Place: Lecture Hall
Abstract: 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.