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Article overview
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TQFT, Homological Algebra and elements of K.Saito's Theory of Primitive Form: an attempt of mathematical text written by mathematical physicist | Andrey Losev
; | Date: |
4 Jan 2023 | Abstract: | The text is devoted to explanation of the concept of Topological Quantum
Field Theory (TQFT), its application to homological algebra and to the relation
with the theory of good section from K.Saito’s theory of Primitive forms. TQFT
is explained in Dirac-Segal framework, one-dimensional examples are explained
in detail. As a first application we show how it can be used in explicit
construction of reduction of infinity-structure after contraction of a
subcomplex. Then we explain Associativity and Commutativity equations using
this language. We use these results to construct solutions to Commutativity
equations and find a new proof of for the fact that tree level BCOV theory
solved Oriented Associativity equations. | Source: | arXiv, 2301.01390 | Services: | Forum | Review | PDF | Favorites |
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