Categorification of Harder–Narasimhan theory via slope functions valued in totally ordered sets
We introduce a categorical construction of Harder–Narasimhan filtration via a slope method which does not need a degree function. With a theorem of existence and uniqueness of Harder–Narasimhan filtration in our categorical setting, we give a categorical interpretation of Stuhler–Grayson filtration...
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| Veröffentlicht in: | Manuscripta mathematica 2024-03, Vol.173 (3-4), p.1233-1271 |
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| container_title | Manuscripta mathematica |
| container_volume | 173 |
| creator | Li, Yao |
| description | We introduce a categorical construction of Harder–Narasimhan filtration via a slope method which does not need a degree function. With a theorem of existence and uniqueness of Harder–Narasimhan filtration in our categorical setting, we give a categorical interpretation of Stuhler–Grayson filtration in the case of not necessarily Hermitian normed lattices. |
| doi_str_mv | 10.1007/s00229-023-01487-2 |
| format | Article |
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| issn | 0025-2611 1432-1785 |
| language | eng |
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| subjects | Algebraic Geometry Calculus of Variations and Optimal Control Optimization Existence theorems Filtration Geometry Lattices Lie Groups Mathematics Mathematics and Statistics Number Theory Topological Groups Uniqueness theorems |
| title | Categorification of Harder–Narasimhan theory via slope functions valued in totally ordered sets |
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