Abstract
We introduce a diagrammatic monoidal category which we call the quantum Heisenberg category; here, is “central charge” and and are invertible parameters. Special cases were known before: for central charge and parameters and our quantum Heisenberg category may be obtained from the deformed version of Khovanov’s Heisenberg category introduced by Licata and Savage by inverting its polynomial generator, while is the affinization of the HOMFLY-PT skein category. We also prove a basis theorem for the morphism spaces in .
Citation
Jonathan Brundan. Alistair Savage. Ben Webster. "On the definition of quantum Heisenberg category." Algebra Number Theory 14 (2) 275 - 321, 2020. https://doi.org/10.2140/ant.2020.14.275
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