4 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…
Symmetric quiver varieties and critical stable envelopes
Yalong Cao, Andrei Okounkov, Yehao Zhou +1
Symmetric quiver varieties with potentials are natural generalizations of Nakajima quiver varieties, and their equivariant critical cohomologies provide more flexible settings for…
Shifted quantum groups via critical stable envelopes
Yalong Cao, Andrei Okounkov, Yehao Zhou +1
Given a symmetric quiver with potential, we develop a geometric construction of shifted Yangians acting on the critical cohomologies of antidominantly framed quiver varieties with…
Stable envelopes for critical loci
Yalong Cao, Andrei Okounkov, Yehao Zhou +1
This is the first in a sequence of papers devoted to stable envelopes in critical cohomology and critical -theory for symmetric GIT quotients with potentials and related geometr…