2022
DOI: 10.48550/arxiv.2202.06833
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Perverse schobers and 3d mirror symmetry

Abstract: The proposed physical duality known as 3d mirror symmetry relates the geometries of dual pairs of holomorphic symplectic stacks. It has served in recent years as a guiding principle for developments in representation theory. However, due to the lack of definitions, thus far only small pieces of the subject have been mathematically accessible. In this paper, we formulate abelian 3d mirror symmetry as an equivalence between a pair of 2-categories constructed from the algebraic and symplectic geometry, respective… Show more

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Cited by 2 publications
(2 citation statements)
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“…This program was put forward by Teleman [Tel14], based on a proposal of Kapustin-Rozansky-Saulina [KRS09] for 𝒯(𝑇 * 𝑁, 𝐺). Significant progress on the A-model 2-category has been made in the abelian case in recent work of Gammage-Hilburn-Mazel-Gee [GHM22] and Doan-Rezchikov [DR22] suggesting an ambitious program for a more general case.…”
Section: Advanced Directionsmentioning
confidence: 99%
“…This program was put forward by Teleman [Tel14], based on a proposal of Kapustin-Rozansky-Saulina [KRS09] for 𝒯(𝑇 * 𝑁, 𝐺). Significant progress on the A-model 2-category has been made in the abelian case in recent work of Gammage-Hilburn-Mazel-Gee [GHM22] and Doan-Rezchikov [DR22] suggesting an ambitious program for a more general case.…”
Section: Advanced Directionsmentioning
confidence: 99%
“…In this context, the B-side is the Rozansky-Witten 2-category, based on the category of matrix factorizations. The A-side should be a gauged version of the Fueter category, based on the Fukaya-Seidel category [39,40]: concrete examples of the A-side in the literature rely on explicit algebraic models of the 2-category and it is an interesting problem to clarify the relation with the geometric model given by the Fueter 2-category.…”
Section: Introductionmentioning
confidence: 99%