We give a graphical calculus for a monoidal DG category ℐ whose Grothendieck group is isomorphic to the ring ℤ[√(-1)]. We construct a categorical action of ℐ which lifts the action of ℤ[√(-1)] on ℤ².
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-7, author = {Yin Tian}, title = {A categorification of the square root of -1}, journal = {Fundamenta Mathematicae}, volume = {233}, year = {2016}, pages = {89-98}, zbl = {06497296}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-7} }
Yin Tian. A categorification of the square root of -1. Fundamenta Mathematicae, Tome 233 (2016) pp. 89-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm232-1-7/