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- W3100759527 abstract "We introduce a new version of 3d mirror symmetry for toric stacks, inspired by a 3d $mathcal{N} = 2$ abelian mirror symmetry construction in physics. Given some toric data, we introduce the $K$-theoretic $I$-function with effective level structure for the associated toric stack. When a particular stability condition is chosen, it restricts to the $I$-function for the particular toric GIT quotient. The mirror of a toric stack is defined by the Gale dual of the original toric data. We then proved the mirror conjecture that the $I$-functions of a mirror pair coincide, under the mirror map, which switches Kahler and equivariant parameters, and maps $qmapsto q^{-1}$." @default.
- W3100759527 created "2020-11-23" @default.
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- W3100759527 date "2020-11-15" @default.
- W3100759527 modified "2023-09-28" @default.
- W3100759527 title "Quantum $K$-theory of toric varieties, level structures, and 3d mirror symmetry" @default.
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- W3100759527 doi "https://doi.org/10.48550/arxiv.2011.07519" @default.
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