5 papers · 1 filter
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…
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…
Splitting formulas for the logarithmic double ramification cycle
Pim Spelier
The logarithmic double ramification cycle is roughly a logarithmic Gromov--Witten invariant of . For classical Gromov--Witten invariants, formulas for the pullback al…
Logarithmic tautological rings of the moduli spaces of curves
Rahul Pandharipande, Dhruv Ranganathan, Johannes Schmitt +1
We define the logarithmic tautological rings of the moduli spaces of Deligne-Mumford stable curves (together with a set of additive generators lifting the decorated strata classes…
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…