A Batalin-Vilkovisky formalism is most general framework to construct consistent quantum field theories. Its mathematical structure is called a BatalinVilkovisky structure. First we explain rather mathematical setting of a BatalinVilkovisky formalism. Next, we consider deformation theory of a BatalinVilkovisky structure. Especially, we consider deformation of topological sigma models in any dim...

Viburnum oliganthum Batalin is illustrated in flower and fruit: its relationships ecology are discussed. Instructions for successful cultivation given.

In order to reduce the impact of noise on accuracy inversion products based SAR images, many filtering algorithms have been developed for reduction images. This paper proposes a method spatial autocorrelation feature block fast Fourier transform (BFFT). The statistically analyses length speckle Sentinel-1B images different features and then constructs relationship between period. After that, si...

A " Master " gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons-Proca models are considered here. The Master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamil-tonian (Batalin-Tyutin) frameworks, th...

We study the existence of a Batalin-Vilkovisky differential on complete cohomology ring Frobenius algebra. construct in case algebras with diagonalizable Nakayama automorphisms.

We study the geometry of the Lagrangian Batalin–Vilkovisky theory on an antisymplectic manifold. We show that gauge symmetries of the BV-theory are essentially the symmetries of an even symplectic structure on the stationary surface of the master action.