Using the notion of a root datum of a reductive group G we propose a tropical analogue of a
principal G-bundle on a metric graph. We focus on the case G= GL n, ie the case of vector …

Let X be a smooth and projective threefold with a simple normal crossings divisor D. We
construct the Donaldson–Thomas theory of the pair enumerating ideal sheaves on X relative …

We give a purely tropical analogue of Donagi's $ n $-gonal construction and investigate its
combinatorial properties. The input of the construction is a harmonic double cover of an $ n …

L\'opez de Medrano, Rinc\'on and Shaw defined the Chern classes on tropical manifolds as
an extension of their theory of the Chern-Schwartz-MacPherson cycles on matroids. This …

Consider a pair consisting of an abstract tropical curve and an effective divisor from the
linear system associated to kk times the canonical divisor for k∈ Z⩾ 1 k∈Z_\geqslant1. In …