53 citations · 124 across the 21 of their papers we have counts for
22 papers
Non-linear homomorphisms of algebras of functions are induced by thick morphisms
Hovhannes M. Khudaverdian
In 2014, Voronov introduced the notion of thick morphisms of (super)manifolds as a tool for constructing -morphisms of homotopy Poisson algebras. Thick morphisms genera…
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…
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_…
Thick morphisms, higher Koszul brackets, and -algebroids
Hovhannes Khudaverdian, Theodore Voronov
It is a classical fact in Poisson geometry that the cotangent bundle of a Poisson manifold has the structure of a Lie algebroid. Manifestations of this structure are the Lichnerowi…
Odd Symmetric Tensors, and an Analogue of the Levi-Civita Connection for an Odd Symplectic Supermanifold
H. M. Khudaverdian, M. Peddie
We consider odd Poisson (odd symplectic) structure on supermanifolds induced by an odd symmetric rank (non-degenerate) contravariant tensor field. We describe the difference be…
Odd Laplacians: geometrical meaning of potential, and modular class
H. M. Khudaverdian, M. Peddie
A second order self-adjoint operator is uniquely defined by its principal symbol and potential if it acts on half-densities. We analyse the potential …