Logarithmic cohomological field theories
arXiv:2308.01099
Abstract
We introduce a new logarithmic structure on the moduli stack of stable curves, admitting logarithmic gluing maps. Using this we define cohomological field theories taking values in the logarithmic Chow cohomology ring, a refinement of the usual notion of a cohomological field theory. We realise the double ramification cycle as a partial logarithmic cohomological field theory.
42 pages. v3: introduction partially rewritten. Comments still very welcome!