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20172026
most citedTropical refined curve counting from higher genera and lambda classes

42 citations · 212 across the 25 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

math.AG2020★ 6 cited

Stable maps to Looijenga pairs: orbifold examples

Pierrick Bousseau, Andrea Brini, Michel van Garrel

In arXiv:2011.08830 we established a series of correspondences relating five enumerative theories of log Calabi-Yau surfaces, i.e. pairs with a smooth projective comple…

math.AG2020★ 19 cited

Stable maps to Looijenga pairs

Pierrick Bousseau, Andrea Brini, Michel van Garrel

A log Calabi-Yau surface with maximal boundary, or Looijenga pair, is a pair with a smooth rational projective complex surface and an ant…

math.GT2020★ 12 cited

Strong positivity for the skein algebras of the -punctured sphere and of the -punctured torus

Pierrick Bousseau

The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the character variety of a topological surface. We realize the skein algebra of t…

math.AG2020★ 2 cited

Real Log Curves in Toric Varieties, Tropical Curves, and Log Welschinger Invariants

Hülya Argüz, Pierrick Bousseau

We give a tropical description of the counting of real log curves in toric degenerations of toric varieties. We treat the case of genus zero curves and all non-superabundant higher…

math.AG2020

Scattering diagrams, sheaves, and curves

Pierrick Bousseau

We review the recent proof of the N.Takahashi's conjecture on genus Gromov-Witten invariants of , where is a smooth cubic curve in the complex projective…

math.AG2020★ 19 cited

Holomorphic anomaly equation for and the Nekrasov-Shatashvili limit of local

Pierrick Bousseau, Honglu Fan, Shuai Guo +1

We prove a higher genus version of the genus local-relative correspondence of van Garrel-Graber-Ruddat: for a pair with a smooth projective variety and a nef sm…