Aeppli-Bott-Chern cohomology and Deligne cohomology from a viewpoint of Harvey-Lawson's spark complex

Jyh-Haur Teh

By comparing Deligne complex and Aeppli-Bott-Chern complex, we construct a differential cohomology ${\hat{H}}^{\ast }(X,\ast ,\ast )$ that plays the role of Harvey-Lawson spark group $\wideh…