D -structures and derived Koszul duality for unital operad algebras
| Autor: | Igor Kriz, Po Hu, Tyler Foster |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Koszul duality Generalization Unital 010102 general mathematics Homology (mathematics) Mathematics::Geometric Topology Mathematics::Algebraic Topology 01 natural sciences Floer homology Mathematics::K-Theory and Homology Mathematics::Category Theory 0103 physical sciences 010307 mathematical physics 0101 mathematics Algebraic number Equivalence (formal languages) Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | Journal of Pure and Applied Algebra. 220:1133-1156 |
| ISSN: | 0022-4049 |
| DOI: | 10.1016/j.jpaa.2015.08.012 |
| Popis: | Generalizing a concept of Lipshitz, Ozsvath 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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