10 papers
Combinatorics of Hurwitz degenerations and tropical realizability
Mia Lam, Chi Kin Ng, Dhruv Ranganathan
We investigate the realizability of balanced functions on tropical curves, establishing new sufficient criteria for superabundant functions on genus two curves, analogous to the we…
The GW/PT conjectures for toric pairs
Davesh Maulik, Dhruv Ranganathan
We prove the conjectural correspondence between logarithmic Gromov-Witten theory and logarithmic Donaldson/Pandharipande-Thomas theory for pairs consisting of a to…
Logarithmic negative tangency and root stacks
Luca Battistella, Navid Nabijou, Dhruv Ranganathan
We study stable maps to normal crossings pairs with possibly negative tangency orders. There are two independent models: punctured Gromov-Witten theory of pairs and orbifold Gromov…
An invitation to the enumerative geometry of degenerations
Dhruv Ranganathan
This expository article is an introduction to logarithmic Gromov--Witten (GW) theory. We discuss how to study the GW theory of a smooth projective variety via simple normal crossin…
Gromov-Witten theory, degenerations, and the tautological ring
Davesh Maulik, Dhruv Ranganathan
Gromov-Witten (GW) theory produces Chow and cohomology classes on the moduli of curves, and there are several conjectures/speculations about their relation to the tautological ring…
Logarithmic Quot spaces, boundedness, and K-tropicalizations
Patrick Kennedy-Hunt, Dhruv Ranganathan
Logarithmic Hilbert and Quot spaces are generalizations of their traditional versions adapted to study pairs and degenerations. The logarithmic Quot spaces of parameterize…