3 citations · 5 across the 5 of their papers we have counts for
5 papers
Critical Cohomological Hall Algebra and Edge Contraction
Yiqiang Li, Jie Ren
We study the behaviors of cohomological Hall algebras and relevant subjects under an edge contraction. Given a quiver with potential and fix an arrow, the edge contraction is a way…
Calabi-Yau categories and graded quivers with potential
Jie Ren
We prove that the equivalence classes of d-dimensional Calabi-Yau -categories (dCY category for short) of certain type are in one-to-one correspondence with the gauge equ…
Euler's scheme of Mckean-Vlasov SDEs with non-Lipschitz coefficients
Zhen Wang, Jie Ren, Yu Miao
In this paper, we show the strong well-posedness of Mckean-Vlasov SDEs with non-Lipschitz coefficients. Moreover, propagation of chaos and the convergence rate for Euler's scheme o…
Correspondence between 2 Calabi-Yau Categories and Quivers
Jie Ren
This note gives a one-to-one correspondence between the equivalence classes of a certain type of 2-dimensional Calabi-Yau categories, and certain type of quivers, This is an analog…
Cohomological Hall algebras, semicanonical bases and Donaldson-Thomas invariants for -dimensional Calabi-Yau categories (with an appendix by Ben Davison)
Jie Ren, Yan Soibelman
We discuss semicanonical bases from the point of view of Cohomological Hall algebras via the "dimensional reduction" from 3-dimensional Calabi-Yau categories to 2-dimensional ones.…