Trace of the Twisted Heisenberg Category

OĞUZ C. O., Reeks M.

Communications in Mathematical Physics, cilt.356, sa.3, ss.1117-1154, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 356 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00220-017-2992-9
  • Dergi Adı: Communications in Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1117-1154
  • Galatasaray Üniversitesi Adresli: Evet

Özet

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.