20 citations · 84 across the 22 of their papers we have counts for
6 papers · 1 filter
Berezinian expansion and super exterior powers
Maheshan Ekanayaka, Ekaterina Shemyakova
In supergeometry, the classical identification of top-degree differential forms with volume forms suitable for integration breaks down. To address this issue, several generalized n…
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 a Batalin--Vilkovisky operator generating higher Koszul brackets on differential forms
Ekaterina Shemyakova
We introduce a formal -differential operator that generates higher Koszul brackets on the algebra of (pseudo)differential forms on a -manifold. Such an opera…
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 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…
Classification of Multidimensional Darboux Transformations: First Order and Continued Type
David Hobby, Ekaterina Shemyakova
We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and…