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Cup product on A∞-cohomology and deformationsWe propose a simple method for constructing formal deformations of differential graded algebras

On presymplectic structures for massless higher-spin fieldsA natural presymplectic structure for non-Lagrangian equations of motion governing the dynamics

Gauge symmetries in 2D field theoryA simple algorithm is proposed for constructing generators of gauge symmetry as well

Deformation quantization of contact manifolds of symplectic manifolds, not every classical observable on a contact manifold is generally quantized

Variational tricomplex of a local gauge system, Lagrange structure and weak Poisson bracketWe introduce the concept of a variational tricomplex, which is applicable both to variational

Homotopy Cartan calculus and inner deformations of A∞-algebrasWe consider inner deformations of families of A∞-algebras. With the help of noncommutative Cartan’s

A simple construction of associative deformationsWe propose a simple approach to formal deformations of associative algebras. It exploits

Chiral higher spin gravity in (A)dS4 and secrets of Chern–Simons matter theoriesChiral Higher Spin Gravity with cosmological constant is constructed as a Free Differential Algebra

Variational tricomplex, global symmetries and conservation laws of gauge systemsUsing the concept of variational tricomplex endowed with a presymplectic structure, we formulate

Formal higher spin gravitiesWe present a complete solution to the problem of Formal Higher Spin Gravities — formally consistent

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