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arXiv · 1702.08108

Trace of the twisted Heisenberg Category

Can Ozan Oğuz·Michael Reeks
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Abstract

We show that the trace decategorification, or zeroth Hochschild homology, of the twisted Heisenberg category defined by Cautis and Sussan is isomorphic to a quotient of $W^-$, a subalgebra of $W_{1+\infty}$ defined by Kac, Wang, and Yan. Our result is a twisted analogue of that by Cautis, Lauda, Licata, and Sussan relating $W_{1+\infty}$ and the trace decategorification of the Heisenberg category.

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Can Ozan Oğuz, Michael Reeks. 2017-02-26. Trace of the twisted Heisenberg Category. https://doi.org/10.1007/s00220-017-2992-9

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