From the 1 of 5 linked papers with an AI index.
5 papers
On the -theoretic logarithmic double ramification class
Kamyar Amini, You-Cheng Chou, Leo Herr +3
The paper defines a K‑theoretic version of the logarithmic double ramification class, proves a product formula and GLₙ(ℤ)‑invariance, and provides an explicit expression using Grot…
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…
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…
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…
The log Grothendieck ring of varieties
Andreas Gross, Leo Herr, David Holmes +2
We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``'' over the usual Grothendieck ring. We show the naïve definition of log H…