Minimal Models of Some Differential Graded Modules

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Şentürk B., Ünlü Ö.

Applied Categorical Structures, vol.31, no.1, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1007/s10485-022-09708-7
  • Journal Name: Applied Categorical Structures
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Keywords: Minimal Hirsch–Brown model, Operads, Rank conjecture
  • TED University Affiliated: Yes

Abstract

© 2022, The Author(s), under exclusive licence to Springer Nature B.V.Minimal models of chain complexes associated with free torus actions on spaces have been extensively studied in the literature. In this paper, we discuss these constructions using the language of operads. The main goal of this paper is to define a new Koszul operad that has projections onto several of the operads used in these minimal model constructions.