Logarithmic cohomological field theories

Fuente: arXiv
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Autori principali: Holmes, David, Spelier, Pim
Natura: Preprint
Pubblicazione: 2023
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author Holmes, David
Spelier, Pim
author_facet Holmes, David
Spelier, Pim
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2308_01099
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Logarithmic cohomological field theories
Holmes, David
Spelier, Pim
Algebraic Geometry
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.
title Logarithmic cohomological field theories
topic Algebraic Geometry
url https://arxiv.org/abs/2308.01099