W-algebras from Heisenberg categories
Sabin Cautis, Aaron D. Lauda, Anthony M. Licata, and Joshua Sussan

TL;DR
This paper establishes a connection between the trace of Khovanov's Heisenberg category and the algebra W_{1+ finite}, leading to an action of W_{1+ finite} on symmetric functions, thus linking categorification with algebraic structures.
Contribution
It identifies the trace of the Heisenberg category with a quotient of W_{1+ finite} and constructs an action on symmetric functions, bridging categorification and algebra.
Findings
Trace of Heisenberg category is a quotient of W_{1+ finite}
W_{1+ finite} acts on symmetric functions
Provides new insights into categorification and algebraic actions
Abstract
The trace (or zeroth Hochschild homology) of Khovanov's Heisenberg category is identified with a quotient of the algebra W_{1+\infty}. This induces an action of W_{1+\infty} on symmetric functions.
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