Enriched functor categories for functor calculus
- Award ID(s):
- 1901795
- PAR ID:
- 10344488
- Date Published:
- Journal Name:
- Topology and its Applications
- Volume:
- 316
- Issue:
- C
- ISSN:
- 0166-8641
- Page Range / eLocation ID:
- 108099
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Duality properties are studied for a Gorenstein algebra that is finite and projective over its center. Using the homotopy category of injective modules, it is proved that there is a local duality theorem for the subcategory of acyclic complexes of such an algebra, akin to the local duality theorems of Grothendieck and Serre in the context of commutative algebra and algebraic geometry. A key ingredient is the Nakayama functor on the bounded derived category of a Gorenstein algebra and its extension to the full homotopy category of injective modules.more » « less
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