Jf. Yang et Gj. Ni, GAUGE-INVARIANCE OF DET (ID)(2+1) AND THE INFLUENCE OF REGULARIZATIONS, Communications in Theoretical Physics, 25(1), 1996, pp. 127-128
The gauge invariance of det (iD) in (2 + 1)-dimensional spacetime is a
rgued in two approaches. Unlike the (3 + 1)-dimensional case, det (iD)
does not carry any topological information. Some brief discussions ar
e presented.