We generalize the construction of Rouquier complexes to the setting of one-sided singular Soergel bimodules. Singular Rouquier complexes are defined by taking minimal complexes of restricted Rouquier complexes. We show that they retain many of the properties of ordinary Rouquier complexes: they are (Formula presented.) -split, they satisfy a vanishing formula, and when Soergel's conjecture holds they are perverse. As an application, we establish Hodge theory for singular Soergel bimodules.
Singular Rouquier complexes
Patimo L.
2022-01-01
Abstract
We generalize the construction of Rouquier complexes to the setting of one-sided singular Soergel bimodules. Singular Rouquier complexes are defined by taking minimal complexes of restricted Rouquier complexes. We show that they retain many of the properties of ordinary Rouquier complexes: they are (Formula presented.) -split, they satisfy a vanishing formula, and when Soergel's conjecture holds they are perverse. As an application, we establish Hodge theory for singular Soergel bimodules.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Proceedings of London Math Soc - 2022 - Patimo - Singular Rouquier complexes.pdf
accesso aperto
Tipologia:
Versione finale editoriale
Licenza:
Creative commons
Dimensione
285.91 kB
Formato
Adobe PDF
|
285.91 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
