54 citations · 95 across the 15 of their papers we have counts for
16 papers
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…
Beyond perturbation 2: asymptotics and Beilinson-Drinfeld Grassmannians in differential geometry
Dennis Borisov, Kobi Kremnizer
We prove that for any k greater or equal to 2, given a smooth compact k-dimensional manifold and a multiplicative k-1-gerbe on a Lie group, together with an integrable connection,…
Quasi-coherent sheaves in differential geometry
Dennis Borisov, Kobi Kremnizer
It is proved that the category of simplicial complete bornological spaces over carries a combinatorial monoidal model structure satisfying the monoid axiom. For any com…
Beyond perturbation 1: de Rham spaces
Dennis Borisov, Kobi Kremnizer
It is shown that if one uses the notion of infinity nilpotent elements due to Moerdijk and Reyes, instead of the usual definition of nilpotents to define reduced -schemes…