32 citations · 40 across the 4 of their papers we have counts for
6 papers
Simultaneous cores with restrictions and a question of Zaleski and Zeilberger
Paul Johnson
IMPORTANT NOTE: This paper is much rougher than I'd usually submit, and not entirely complete, though the main theorems and proofs should not be hard to follow. Given the ongoing s…
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…