Modules over operads and functors

Front Matter....Pages 1-8
Introduction....Pages 1-13
Front Matter....Pages 17-20
Symmetric monoidal categories for operads....Pages 21-34
Symmetric objects and functors....Pages 1-18
Operads and algebras in symmetric monoidal categories....Pages 53-76
Miscellaneous structures associated to algebras over operads....Pages 77-93
Back Matter....Pages 95-96
Front Matter....Pages 98-98
Definitions and basic constructions....Pages 99-106
Tensor products....Pages 107-112
Universal constructions on right modules over operads....Pages 113-119
Adjunction and embedding properties....Pages 121-128
Algebras in right modules over operads....Pages 129-138
Miscellaneous examples....Pages 139-147
Back Matter....Pages 149-149
Front Matter....Pages 152-152
Symmetric monoidal model categories for operads....Pages 153-184
The homotopy of algebras over operads....Pages 185-202
The (co)homology of algebras over operads....Pages 203-214
Back Matter....Pages 215-216
Front Matter....Pages 218-218
The model category of right modules....Pages 219-223
Modules and homotopy invariance of functors....Pages 225-233
Extension and restriction functors and model structures....Pages 235-239
Miscellaneous applications....Pages 241-259
Back Matter....Pages 261-261
Front Matter....Pages 1-2
Shifted modules over operads and functors....Pages 267-276
Shifted functors and pushout-products....Pages 277-286
Front Matter....Pages 1-2
Applications of pushout-products of shifted functors....Pages 287-289
Back Matter....Pages 1-23