Polynomiality properties of tropical refined invariants
E Brugallé, AJ Puentes - arXiv preprint arXiv:2011.12668, 2020 - arxiv.org
Tropical refined invariants of toric surfaces constitute a fascinating interpolation between
real and complex enumerative geometries via tropical geometry. They were originally …
real and complex enumerative geometries via tropical geometry. They were originally …
Topics in Gromov-Witten theory
Y Schuler - 2024 - etheses.whiterose.ac.uk
This thesis explores different aspects of Gromov–Witten theory and is divided into two parts.
The first investigates conjectures of Bousseau, Brini and van Garrel relating three a priori …
The first investigates conjectures of Bousseau, Brini and van Garrel relating three a priori …
The log-open correspondence for two-component Looijenga pairs
Y Schuler - arXiv preprint arXiv:2404.15412, 2024 - arxiv.org
A two-component Looijenga pair is a rational smooth projective surface with an
anticanonical divisor consisting of two transversally intersecting curves. We establish an all …
anticanonical divisor consisting of two transversally intersecting curves. We establish an all …
Correlated Gromov-Witten invariants
T Blomme, F Carocci - arXiv preprint arXiv:2409.09472, 2024 - arxiv.org
We introduce a geometric refinement of Gromov-Witten invariants for $\mathbb P^ 1$-
bundles relative to the natural fiberwise boundary structure. We call these refined invariant …
bundles relative to the natural fiberwise boundary structure. We call these refined invariant …
Gromov-Witten Invariants of Bielliptic Surfaces
T Blomme - arXiv preprint arXiv:2401.01627, 2024 - arxiv.org
Bielliptic surfaces appear as quotient of a product of two elliptic curves and were classified
by Bagnera-Franchis. We give a concrete way of computing their GW-invariants with point …
by Bagnera-Franchis. We give a concrete way of computing their GW-invariants with point …
Combinatorial G\" ottsche-Schroeter invariants in any genus
G Mével - arXiv preprint arXiv:2411.02312, 2024 - arxiv.org
G\" ottsche-Schroeter invariants are a genus 0 extension of Block-G\" ottsche invariants.
They interpolate between Welschinger invariants involving pairs of complex conjugated …
They interpolate between Welschinger invariants involving pairs of complex conjugated …
Asymptotic properties of tropical refined invariants
G Mével - 2024 - hal.science
In enumerative algebraic geometry, the number of curves on a surface behaves differently
whether one fixes the number of nodes or the genus of the curves. It is polynomial in the first …
whether one fixes the number of nodes or the genus of the curves. It is polynomial in the first …
The Caporaso-Harris Formula for Tropical Plane Curves and Floor Diagrams
The Caporaso-Harris Formula for Tropical Plane Curves and Floor Diagrams | SpringerLink
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