Gyenge, Adam, Koppensteiner, Clemens and Logvinenko, Timothy ![]() ![]() |
Preview |
PDF
- Accepted Post-Print Version
Download (1MB) | Preview |
Abstract
Starting with a k-linear or DG category admitting a (homotopy) Serre functor, we construct a k-linear or DG 2-category categorifying the Heisenberg algebra of the numerical K-group of the original category. We also define a 2-categorical analogue of the Fock space representation of the Heisenberg algebra. Our construction generalises and unifies various categorical Heisenberg algebra actions appearing in the literature. In particular, we give a full categorical enhancement of the action on derived categories of symmetric quotient stacks introduced by Krug, which itself categorifies a Heisenberg algebra action proposed by Grojnowski.
Item Type: | Article |
---|---|
Status: | In Press |
Schools: | Schools > Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | American Mathematical Society |
ISSN: | 0065-9266 |
Date of First Compliant Deposit: | 7 October 2025 |
Date of Acceptance: | 22 August 2025 |
Last Modified: | 08 Oct 2025 11:00 |
URI: | https://orca.cardiff.ac.uk/id/eprint/181535 |
Actions (repository staff only)
![]() |
Edit Item |