EA-Matrix integrals of associative algebras and equivariant localization

Abstract

Preprint HAL-00507788 (2010) from the CNRS open online arxive HAL. The equivariantly closed matrix integrals introduced in [B06], are studied in the case of the graded associative algebras with odd or even scalar product.I prove that the EA-matrix integrals for associative algebras with scalar product are integrals of equivariantly closed differential forms with respect to the Lie algebra $g{l}_N(A)$.

Preprint HAL-00507788 (2010) from the CNRS open online arxive HAL

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• Noncommmutative Batalin-Vilkovisky geometry and Matrix integrals
• Solving the noncommutative Batalin-Vilkovisky equation
• Supersymmetry and cohomology of graph complexes