Minimal Models of Some Differential Graded Modules

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Şentürk B., Ünlü Ö.

Applied Categorical Structures, cilt.31, sa.1, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s10485-022-09708-7
  • Dergi Adı: Applied Categorical Structures
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Minimal Hirsch–Brown model, Operads, Rank conjecture
  • TED Üniversitesi Adresli: Evet

Özet

© 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.