5 papers
A degeneration formula of Donaldson-Thomas theory on local Calabi-Yau 4-folds
Yalong Cao, Gufang Zhao, Zijun Zhou
We define relative Donaldson-Thomas invariants of local log Calabi-Yau 4-folds, under the assumption that the derived Hilbert scheme on the anti-canonical divisor is a derived crit…
Gopakumar-Vafa invariants of fiber classes on Calabi-Yau 4-folds fibered over curves
Yalong Cao, Feng Qu
We prove a conjectural correspondence of Cao-Maulik-Toda which relates Gopakumar-Vafa invariants of fiber classes on a smooth projective Calabi-Yau 4-fold fibered over a curve to t…
Quasimaps to quivers with potentials
Yalong Cao, Gufang Zhao
This paper is concerned with a non-compact GIT quotient of a vector space, in the presence of an abelian group action and an equivariant regular function (potential) on the quotien…
Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds
Yalong Cao, Jacob Gross, Dominic Joyce
This paper concerns orientability of moduli spaces of Spin(7)-instantons on compact 8-manifolds with Spin(7)-structure for the Lie groups SU() and U(), and of moduli spac…
-theoretic pullbacks for Lagrangians on derived critical loci
Yalong Cao, Yukinobu Toda, Gufang Zhao
Given a regular function on a smooth stack, and a -shifted Lagrangian on the derived critical locus of , under fairly general hypotheses, we construct a pullback…