Poincaré duality algebras, Macaulay's dual systems, and Steenrod operations
Poincaré duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in the study of irreducible ideals in polynomial algebras. These two ideas are tied together using basic commutative algebra involving Gorenstein algebras. Steenrod...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
|
| Schriftenreihe: | Cambridge tracts in mathematics
167 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-355 URL des Erstveröffentlichers |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Inhaltsangabe:
- Introduction
- Part I. Poincare Duality Quotients
- Part II. Macaulay's Dual Systems and Frobenius Powers
- Part III. Poincaré Duality and the Steenrod Algebra
- Part IV. Dickson, Symmetric, and Other Coinvariants
- Part V. The Hit Problem mod 2
- Part VI. Macaulay's Inverse Systems and Applications