Elliptic stable envelopes and hypertoric loop spaces

• Michael McBreen ^[1] ; Artan Sheshmani ^[2] ; Shing-Tung Yau ^[3]
  1. [1] Chinese University of Hong Kong

     Chinese University of Hong Kong

     RAE de Hong Kong (China)

     
  2. [2] Yanqi Lake Beijing Institute for Mathematical Sciences and Applications (BIMSA), China; Massachusetts Institute of Technology (MIT), USA; National Research University Higher School of Economics, Rusia
  3. [3] Yanqi Lake Beijing Institute for Mathematical Sciences and Applications (BIMSA), China; Tsinghua university, China

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 29, Nº. 5, 2023
• Idioma: inglés
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• Resumen

  • This paper describes a relation between the elliptic stable envelopes of a hypertoric variety X and a distinguished K-theory class on the product of the loop hypertoric space LX and its symplectic dual PX! . This class intertwines the K-theoretic stable envelopes in a certain limit. Our results are suggestive of a possible categorification of elliptic stable envelopes.