Asymmetry of P-functors
Abstract
Recently, a new definition of P-functors was proposed by Anno and Logvinenko. In their article, the authors wonder whether this notion is symmetric in the sense that the adjoints of P-functors are again P-functors, the analogue being true for spherical functors. We give geometric examples involving the Hilbert scheme of points on a surface that yield a negative answer.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic and Geometric Analysis
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Kyoto journal of mathematics
- Publisher
- Duke University Press
- Volume
- 66
- Issue
- 3
- Pages
- 499-505
- Publication date
- 20 May 2026
- Language
- EN