22 citations · 106 across the 25 of their papers we have counts for
32 papers
Splitting and loop theorems in logarithmic Gromov--Witten theory
Leo Herr, David Holmes, Pim Spelier
We define a new theory of logarithmic Gromov--Witten invariants allowing negative contact orders using pierced logarithmic curves. We prove that these classes satisfy logarithmic b…
On the -theoretic logarithmic double ramification class
Kamyar Amini, You-Cheng Chou, Leo Herr +3
The logarithmic double ramification cycle is the virtual fundamental class of the locus where a line bundle on a family of curves is fiberwise trivial. We construct a K-theoretic l…
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…
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 Ho…
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…
A tale of two moduli spaces: logarithmic and multi-scale differentials
Dawei Chen, Samuel Grushevsky, David Holmes +2
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…