Anderson and Gorenstein duality
J. P. C. Greenlees, V. Stojanoska
TL;DR
This paper explores the relationship between Gorenstein and Anderson duality theories, using local cohomology and invariant theory to analyze the shifts in simple cases, enhancing understanding of duality in algebraic topology.
Contribution
It establishes a connection between Gorenstein and Anderson dualities and applies local cohomology and invariant theory to clarify their numerology.
Findings
Unified framework for Gorenstein and Anderson dualities
Application of local cohomology to duality shifts
Insights into duality numerology in simple cases
Abstract
The paper relates the Gorenstein duality statements studied by the first author to the Anderson duality statements studied by the second author, and explains how to use local cohomology and invariant theory to understand the numerology of shifts in simple cases.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models