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  • The aim of the project is to apply a homological characterization of homotopy algebras to the study of homotopy structures in algebra and mathematical physics. More concretely, the aim is to construct higher (anti)brackets on the string field BRST complex, construct a strongly homotopy Lie structure on the space of local functionals of the Lagrangian formalism, describe the structure of the string products as a loop homotopy algebra and, finally, study traces over the homology of configuration spaces. (en)
  • Cílem projektu je využití homologické charakterizace homotopických algeber ke studiu homotopických struktur v algebře a matematické fyzice. Konkrétně se jedná o konstrukci vyšších (anti)závorek na BRST komplexu strunové teorie pole, konstrukci silně homotopicky Lieovy struktury na prostoru lokálních funkcionálů Lagrangeova formalismu, popis struktury strunových součinů jako smyčkové homotopické algebry a konečně studium stop nad homologiemi konfiguračních prostorů. (cs)
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  • Higher homotopy structures (en)
  • Vyšší homotopické struktury (cs)
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