Symmetric quotient stacks and Heisenberg actions

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Andreas Krug

External Research Organisations

  • Philipps-Universität Marburg
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Details

Original languageEnglish
Pages (from-to)11-22
Number of pages12
JournalMathematische Zeitschrift
Volume288
Issue number1-2
Early online date29 Mar 2017
Publication statusPublished - 1 Feb 2018
Externally publishedYes

Abstract

For every smooth projective variety X, we construct an action of the Heisenberg algebra on the direct sum of the Grothendieck groups of all the symmetric quotient stacks [ Xn/ Sn] which contains the Fock space as a subrepresentation. The action is induced by functors on the level of the derived categories which form a weak categorification of the action.

ASJC Scopus subject areas

Cite this

Symmetric quotient stacks and Heisenberg actions. / Krug, Andreas.
In: Mathematische Zeitschrift, Vol. 288, No. 1-2, 01.02.2018, p. 11-22.

Research output: Contribution to journal › Article › Research › peer review

Krug A. Symmetric quotient stacks and Heisenberg actions. Mathematische Zeitschrift. 2018 Feb 1;288(1-2):11-22. Epub 2017 Mar 29. doi: 10.1007/s00209-017-1874-3
Krug, Andreas. / Symmetric quotient stacks and Heisenberg actions. In: Mathematische Zeitschrift. 2018 ; Vol. 288, No. 1-2. pp. 11-22.
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