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AKSZ formalism and applications
 Bialas, Filip ; Jurčo, Branislav (advisor) ; Vysoký, Jan (referee)
Generalization of manifolds to the case of both commuting and anticommut- ing variables - Z-graded manifolds are described in this thesis. The language of categories and algebraic geometry is used for defining them and generalizing a few geometrical concepts such as vector fields, differential forms, and symplectic geometry. In the rest of the text, AKSZ construction is described. This construc- tion unifies a few topological field theories by constructing an action functional which is a solution to the classical BV master equation. We will describe one such theory (Poisson sigma model) using AKSZ formalism in greater detail. 1
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