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  Singular Rouquier complexes

Patimo, L. (2022). Singular Rouquier complexes. Proceedings of the London Mathematical Society, 125(6), 1332-1352. doi:10.1112/plms.12483.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-464B-3 Version Permalink: https://hdl.handle.net/21.11116/0000-000F-78CC-5
Genre: Journal Article

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Patimo-Singular Rouquier complexes_2022.pdf (Publisher version), 287KB
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© 2022 The Authors. Proceedings of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposes
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 Creators:
Patimo, Leonardo1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory
 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 Δ-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.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1908.10966
DOI: 10.1112/plms.12483
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Title: Proceedings of the London Mathematical Society
Source Genre: Journal
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Publ. Info: Wiley
Pages: - Volume / Issue: 125 (6) Sequence Number: - Start / End Page: 1332 - 1352 Identifier: -