double ramification cycle 1grothendieck polynomials 1k-theory 1logarithmic geometry 1thom-porteous formula 1
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math.AG2025
A tale of two moduli spaces: logarithmic and multi-scale differentials
Dawei Chen, Samuel Grushevsky, David Holmes +3
Multi-scale differentials were constructed by M.~Bainbridge, D.~Chen, Q.~Gendron, S.~Grushevsky, and M.~Möller, from the viewpoint of flat and complex geometry, for the purpose of…
math.AG2025
DR cycles and strata of differentials with spin parity
David Holmes, Georgios Politopoulos, Adrien Sauvaget
We study classes of strata of differentials with fixed spin parity in the Chow ring of moduli spaces of curves. We show that these classes are tautological and computable. Furtherm…
math.AG2025
Logarithmic cohomological field theories
David Holmes, Pim Spelier
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…