@techreport{da33ad0317e24e7899eb8b2ce1e7e001,
title = "Colored DG-operads and homotopy adjunction for DG-categories",
abstract = " Generalizing the approach to pseudo monoidal DG-categories as certain colored non-symmetric DG-operads, we introduce a certain relaxed notion of a category enriched in DG-categories. We construct model structures on the category of colored non-symmetric DG-operads and on the category of DGCat-enriched categories with a fixed set of objects. This allows us to talk about strong homotopy maps in both settings. We discuss the notion of a strong homotopy monad in a DG-category and a notion of strong homotopy adjunction data for two DG-functors. ",
keywords = "math.CT",
author = "Sergey Arkhipov and Tina Kanstrup",
note = "Preliminary version, comments welcome! 28 pages",
year = "2018",
month = jun,
day = "26",
language = "English",
series = "arXiv",
type = "WorkingPaper",
}
TY - UNPB
T1 - Colored DG-operads and homotopy adjunction for DG-categories
AU - Arkhipov, Sergey
AU - Kanstrup, Tina
N1 - Preliminary version, comments welcome! 28 pages
PY - 2018/6/26
Y1 - 2018/6/26
N2 - Generalizing the approach to pseudo monoidal DG-categories as certain colored non-symmetric DG-operads, we introduce a certain relaxed notion of a category enriched in DG-categories. We construct model structures on the category of colored non-symmetric DG-operads and on the category of DGCat-enriched categories with a fixed set of objects. This allows us to talk about strong homotopy maps in both settings. We discuss the notion of a strong homotopy monad in a DG-category and a notion of strong homotopy adjunction data for two DG-functors.
AB - Generalizing the approach to pseudo monoidal DG-categories as certain colored non-symmetric DG-operads, we introduce a certain relaxed notion of a category enriched in DG-categories. We construct model structures on the category of colored non-symmetric DG-operads and on the category of DGCat-enriched categories with a fixed set of objects. This allows us to talk about strong homotopy maps in both settings. We discuss the notion of a strong homotopy monad in a DG-category and a notion of strong homotopy adjunction data for two DG-functors.
KW - math.CT
M3 - Working paper
T3 - arXiv
BT - Colored DG-operads and homotopy adjunction for DG-categories
ER -
