4 papers
Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications
Arkadij Bojko
This work develops new ideas and tools to establish equivariant wall-crossing in Calabi-Yau four categories. In the process, I introduce several necessary formalisms, including an…
Wall-crossing for zero-dimensional sheaves and Hilbert schemes of points on Calabi-Yau 4-folds
Arkadij Bojko
Gross-Joyce-Tanaka arXiv:2005.05637 proposed a wall-crossing conjecture for Calabi-Yau fourfolds. Assuming it, we prove the conjecture of Cao-Kool arXiv:1712.07347 for 0-dimensiona…
Universal Virasoro constraints for quivers with relations
Arkadij Bojko
Following our reformulation of sheaf-theoretic Virasoro constraints with applications to curves and surfaces joint with Lim-Moreira, I describe in the present work the quiver analo…
Virasoro constraints on moduli of sheaves and vertex algebras
Arkadij Bojko, Woonam Lim, Miguel Moreira
In enumerative geometry, Virasoro constraints were first conjectured in Gromov-Witten theory with many new recent developments in the sheaf theoretic context. In this paper, we rep…