1 citations · 2 across the 8 of their papers we have counts for
9 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…
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…
Equivariant Segre and Verlinde invariants for Quot schemes
Arkadij Bojko, Jiahui Huang
The problem of studying the two seemingly unrelated sets of invariants forming the Segre and the Verlinde series has gone through multiple different adaptations including a version…
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…
Wall-crossing for punctual Quot-schemes
Arkadij Bojko
We study punctual quot-schemes of torsion-free sheaves on smooth projective curves, surfaces and Calabi--Yau fourfolds via their virtual geometry. Our goal is to give a compl…
Application of Lagrange inversion to wall-crossing for Quot schemes on surfaces
Arkadij Bojko
Motivated by my work on enumerative invariants for Quot schemes, I related two power series obtained by two different means. One of them was computed using geometric arguments via…
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…
Orientations for DT invariants on quasi-projective Calabi-Yau 4-folds
Arkadij Bojko
For a Calabi-Yau 4-fold , where is quasi-projective and is a nowhere vanishing section of its canonical bundle , the (derived) moduli stack of compactly support…
Non-commutative counting and stability
Arkadij Bojko, George Dimitrov
The second author and Katzarkov introduced categorical invariants based on counting of full triangulated subcategories in a given triangulated category , and they demon…