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/