285 citations · 738 across the 46 of their papers we have counts for
48 papers
The weighted projective superspace with weights and an analog of the Fubini--Study form
Ekaterina Shemyakova, Theodore Voronov
As a by-product of our work on super Plücker embedding, we came to the notion of a weighted projective superspace with weights . The construction is n…
On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms
Ekaterina Shemyakova, Theodore Voronov
We recall the notion of a differential operator over a smooth map (in linear and non-linear settings) and consider its versions such as formal -differential operators over a…
On the Buchstaber--Rees theory of "Frobenius -homomorphisms" and its generalization
H. M. Khudaverdian, Th. Th. Voronov
This is a survey of our results on the theory of -homomorphisms of Buchstaber--Rees and its generalization that we obtained. In short, we are concerned with classes of linear ma…
L-infinity bialgebroids and homotopy Poisson structures on supermanifolds
Theodore Voronov
We generalize to the homotopy case a result of K. Mackenzie and P. Xu on relation between Lie bialgebroids and Poisson geometry. For a homotopy Poisson structure on a supermanifold…
Thick morphisms of supermanifolds, quantum mechanics, and spinor representation
Hovhannes Khudaverdian, Theodore Voronov
"Thick" or "microformal" morphisms of supermanifolds generalize ordinary maps. They were discovered as a tool for homotopy algebras. Namely, the corresponding pullbacks provide $L_…
On super Plücker embedding and cluster algebras
Ekaterina Shemyakova, Theodore Voronov
We define a super analog of the classical Plücker embedding of the Grassmannian into a projective space. One of the difficulties of the problem is rooted in the fact that super ext…