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arXiv 2015-11-05 0 views

The MV formalism for IBL∞- and BV∞-algebras

Markl, Martin · Voronov, Alexander A.

Original · EN

We develop a new formalism for the Quantum Master Equation Δeˢ/ℏ = 0 and the category of IBL∞-algebras and simplify some homotopical algebra arising in the context of oriented surfaces with boundary. We introduce and study a category of MV-algebras, which, on the one hand, contains such important categories as those of IBL∞-algebras and L∞-algebras, and on the other hand, is homotopically trivial, in particular allowing for a simple solution of the quantum master equation. We also present geometric interpretation of our results.

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