3 papers
math.RT2023
A remark on cohomology of nilpotent Lie algebras
Grigory Papayanov
We prove that the cohomology algebra of a conilpotent Lie coalgebra is generated in degree 1 as an A-infinity algebra. By dualizing, the same is true about cohomology algebras of f…
math.DG2016
Goto's deformation theory of geometric structures, a Lie-theoretical description
Grigory Papayanov
In \cite{Goto}, Ryushi Goto has constructed the deformation space for a manifold equipped with a collection of closed differential forms and showed that in some important cases (Ca…
math.DG2015
Cohomological properties of Hermitian symplectic threefolds
Grigory Papayanov
A Hermitian symplectic manifold is a complex manifold endowed with a symplectic form , for which the bilinear form is positive definite. In this work we prove…