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arXiv · 2308.01099

Logarithmic cohomological field theories

David Holmes·Pim Spelier
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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.

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David Holmes, Pim Spelier. 2023-08-02. Logarithmic cohomological field theories. https://arxiv.org/abs/2308.01099

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