54 citations · 95 across the 15 of their papers we have counts for
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Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds
Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani +1
It is shown that there are globally defined Lagrangian distributions on the stable loci of derived Quot-stacks of coherent sheaves on Calabi--Yau four-folds. Dividing by these dist…
Shifted symplectic structures on derived Quot-stacks I: Differential graded manifolds
Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani
A theory of dg schemes is developed so that it becomes a homotopy site, and the corresponding infinity category of stacks is equivalent to the infinity category of stacks, as const…
Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms
Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani +1
A strictification result is proved for isotropic distributions on derived schemes equipped with negatively shifted homotopically closed -forms. It is shown that any derived sche…
Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds
Dennis Borisov, Dominic Joyce
Let be a separated, -shifted symplectic derived -scheme, in the sense of Pantev, Toen, Vezzosi and Vaquie arXiv:1111.3209, of complex virtual…
Homotopy Gerstenhaber structure on deformation complex of a morphism
Dennis V. Borisov
-structure is shown to exist on the deformation complex of a morphism of associative algebras. The main step of the construction is extension of a -algebra by a…
Formal deformations of morphisms of associative algebras
Dennis V. Borisov
The strong homotopy Lie algebra, controlling simultaneous deformations of a morphism of associative algebras and its domain and codomain is constructed. Isomorphism of the cohomolo…