Trace of the Twisted Heisenberg Category

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OĞUZ C. O., Reeks M.

Communications in Mathematical Physics, vol.356, no.3, pp.1117-1154, 2017 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 356 Issue: 3
• Publication Date: 2017
• Doi Number: 10.1007/s00220-017-2992-9
• Journal Name: Communications in Mathematical Physics
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1117-1154
• Galatasaray University Affiliated: Yes

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 W1 + ∞ defined by Kac, Wang, and Yan. Our result is a twisted analogue of that by Cautis, Lauda, Licata, and Sussan relating W1 + ∞ and the trace decategorification of the Heisenberg category.