Donaldson Invariants and Their Generalizations from AKSZ Topological Field Theories

Abstract

Observable structures of a topological field theory of AKSZ type are analyzed. From a double (or multiple) complex structure of observable algebras, new topological invariants are constructed. Especially, Donaldson polynomial invariants and their generalizations are constructed from a topological field theory of AKSZ type in 4 dimensions recently proposed.

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