Geodesic
A categorification of the square root of $-1$
Yin Tian1
1 Simons Center for Geometry and Physics State University of New York Stony Brook, NY 11794, U.S.A.
Fundamenta Mathematicae, Tome 232 (2016) no. 1, pp. 89-98.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give a graphical calculus for a monoidal DG category $\mathcal {I}$ whose Grothendieck group is isomorphic to the ring $\mathbb {Z}[\sqrt {-1}]$. We construct a categorical action of $\mathcal {I}$ which lifts the action of $\mathbb {Z}[\sqrt {-1}]$ on $\mathbb {Z}^2$.
DOI : 10.4064/fm232-1-7
Keywords: graphical calculus monoidal category mathcal whose grothendieck group isomorphic ring mathbb sqrt construct categorical action mathcal which lifts action mathbb sqrt mathbb

Yin Tian 1

1 Simons Center for Geometry and Physics State University of New York Stony Brook, NY 11794, U.S.A. 
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Yin Tian. A categorification of the square root of $-1$. Fundamenta Mathematicae, Tome 232 (2016) no. 1, pp. 89-98. doi : 10.4064/fm232-1-7. http://geodesic.mathdoc.fr/articles/10.4064/fm232-1-7/

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