D-structures and derived Koszul duality for unital operad algebras
- Autores: Tyler Foster, Po Hu, Igor Kriz
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 3 (March 2016), 2016, págs. 1133-1156
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2015.08.012
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Resumen
Generalizing a concept of Lipshitz, Ozsváth and Thurston from Bordered Floer homology, we define D-structures on algebras of unital operads, which can also be interpreted as a generalization of a seemingly unrelated concept of Getzler and Jones. This construction gives rise to an equivalence of derived categories, which can be thought of as a unital version of Koszul duality using non-unital Quillen homology. We also discuss a multi-sorted version of the construction, which provides a framework for unifying the known algebraic contexts of Koszul duality.
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