32 citations · 40 across the 4 of their papers we have counts for
5 papers · 1 filter
Counting curves on Hirzebruch surfaces: tropical geometry and the Fock space
Renzo Cavalieri, Paul Johnson, Hannah Markwig +1
We study the stationary descendant Gromov-Witten theory of toric surfaces by combining and extending a range of techniques - tropical curves, floor diagrams, and Fock spaces. A cor…
Chamber Structure of Double Hurwitz numbers
Renzo Cavalieri, Paul Johnson, Hannah Markwig
Double Hurwitz numbers count covers of the projective line by genus g curves with assigned ramification profiles over 0 and infinity, and simple ramification over a fixed branch di…
Equivariant Gromov-Witten theory of one dimensional stacks
Paul D. Johnson
In math.AG/0207233, Okounkov and Pandharipande gave an operator formalism for computing the equivariant Gromov-Witten theory of the projective line. This thesis extends their resul…
Abelian Hurwitz-Hodge integrals
P. Johnson, R. Pandharipande, H. -H. Tseng
Hodge classes on the moduli space of admissible covers with monodromy group G are associated to irreducible representations of G. We evaluate all linear Hodge integrals over moduli…
Tropical Hurwitz Numbers
Renzo Cavalieri, Paul Johnson, Hannah Markwig
Hurwitz numbers count genus g, degree d covers of the projective line with fixed branch locus. This equals the degree of a natural branch map defined on the Hurwitz space. In tropi…