Beschreibung:
<jats:p>The trace (or zeroth Hochschild homology) of Khovanov’s Heisenberg category is identified with a quotient of the algebra<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S1474748016000189_inline1" /><jats:tex-math>$W_{1+\infty }$</jats:tex-math></jats:alternatives></jats:inline-formula>. This induces an action of<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S1474748016000189_inline2" /><jats:tex-math>$W_{1+\infty }$</jats:tex-math></jats:alternatives></jats:inline-formula>on the center of the categorified Fock space representation, which can be identified with the action of<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S1474748016000189_inline3" /><jats:tex-math>$W_{1+\infty }$</jats:tex-math></jats:alternatives></jats:inline-formula>on symmetric functions.</jats:p>