PreprintarXiv licencearXiv
Duality functors for Coulomb branches I
Abstract
To a quiver of finite type one can associate two abelian categories: the category of finite dimensional modules over the corresponding affine quiver Hecke algebra and the Coulomb category of Koszul-perverse coherent sheaves. In this paper we define an exact functor from the former to the latter. This functor sends a simple to a simple or zero and is (almost) essentially surjective on simples. This implies that simple Koszul-perverse sheaves categorify the dual canonical basis.
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BibTeX
@misc{cautis2026duality,
title = {{Duality functors for Coulomb branches I}},
author = {Sabin Cautis and Eric Vasserot},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39122},
eprint = {2609.39122},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39122},
}
RIS
TY - UNPB
TI - Duality functors for Coulomb branches I
AU - Sabin Cautis
AU - Eric Vasserot
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39122
UR - https://arxiv.org/abs/2609.39122
AB - To a quiver of finite type one can associate two abelian categories: the category of finite dimensional modules over the corresponding affine quiver Hecke algebra and the Coulomb category of Koszul-perverse coherent sheaves. In this paper we define an exact functor from the former to the latter. This functor sends a simple to a simple or zero and is (almost) essentially surjective on simples. This implies that simple Koszul-perverse sheaves categorify the dual canonical basis.
ER -