Flags and tangles

We show that two constructions yield equivalent braided monoidal categories. The first is topological, based on Legendrian tangles and skein relations, while the second is algebraic, in terms of chain complexes with complete flag and convolution-type products. The category contains Iwahori–Hecke alg...

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1. Verfasser: Haiden, F
Format: Journal article
Sprache:English
Veröffentlicht: European Mathematical Society 2021
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author Haiden, F
author_facet Haiden, F
author_sort Haiden, F
collection OXFORD
description We show that two constructions yield equivalent braided monoidal categories. The first is topological, based on Legendrian tangles and skein relations, while the second is algebraic, in terms of chain complexes with complete flag and convolution-type products. The category contains Iwahori–Hecke algebras of type An as endomorphism algebras of certain objects.
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spelling oxford-uuid:48fb0ddf-74c3-40b2-a017-a6a128ee58b02022-03-26T15:28:58ZFlags and tanglesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:48fb0ddf-74c3-40b2-a017-a6a128ee58b0EnglishSymplectic ElementsEuropean Mathematical Society2021Haiden, FWe show that two constructions yield equivalent braided monoidal categories. The first is topological, based on Legendrian tangles and skein relations, while the second is algebraic, in terms of chain complexes with complete flag and convolution-type products. The category contains Iwahori–Hecke algebras of type An as endomorphism algebras of certain objects.
spellingShingle Haiden, F
Flags and tangles
title Flags and tangles
title_full Flags and tangles
title_fullStr Flags and tangles
title_full_unstemmed Flags and tangles
title_short Flags and tangles
title_sort flags and tangles
work_keys_str_mv AT haidenf flagsandtangles