EA-Matrix Integrals of Associative Algebras and Equivariant Localization

Serguei Barannikov

Research output: Contribution to journalArticlepeer-review


The EA-matrix integrals, introduced in Barannikov (Comptes Rendus Math 348:359–362, 2006), are studied in the case of 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 glN(A).

Original languageEnglish
Pages (from-to)97-104
Number of pages8
JournalArnold Mathematical Journal
Issue number1
Publication statusPublished - 1 Mar 2019
Externally publishedYes


  • Batalin–Vilkovisky formalism
  • Gromov–Witten invariants
  • Mirror symmetry
  • Noncommutative varieties


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