Scattering diagrams, theta functions, and refined tropical curve counts
From MaRDI portal
Publication:5874026
DOI10.1112/jlms.12498OpenAlexW3201235712MaRDI QIDQ5874026
Publication date: 10 February 2023
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.06183
Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Cluster algebras (13F60) Tropical geometry (14T99)
Related Items
The flow tree formula for Donaldson–Thomas invariants of quivers with potentials ⋮ DILOGARITHM IDENTITIES IN CLUSTER SCATTERING DIAGRAMS ⋮ Strong positivity for the skein algebras of the 4-punctured sphere and of the 1-punctured torus ⋮ Fock-Goncharov dual cluster varieties and Gross-Siebert mirrors ⋮ Quantization of deformed cluster Poisson varieties ⋮ Refined count of oriented real rational curves ⋮ Stable maps to Looijenga pairs ⋮ Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting ⋮ Cluster algebras are Cox rings ⋮ Theta bases and log Gromov-Witten invariants of cluster varieties ⋮ The higher-dimensional tropical vertex
Cites Work
- Unnamed Item
- Refined curve counting on complex surfaces
- From real affine geometry to complex geometry
- A duality map for quantum cluster varieties from surfaces
- Toric degenerations of toric varieties and tropical curves
- Mirror symmetry for log Calabi-Yau surfaces. I
- Mirror symmetry for \(\mathbb P^2\) and tropical geometry
- The tropical vertex
- Morse homology, tropical geometry, and homological mirror symmetry for toric varieties
- Quantum indices and refined enumeration of real plane curves
- Tropical refined curve counting from higher genera and lambda classes
- Tropical refined curve counting via motivic integration
- The quantum tropical vertex
- Donaldson-Thomas invariants from tropical disks
- Three dimensional tropical correspondence formula
- Tropical descendant Gromov-Witten invariants
- A descendent tropical Landau-Ginzburg potential for \(\mathbb{P}^2\)
- Refined descendant invariants of toric surfaces
- Quantum cluster algebras.
- Refined curve counting with tropical geometry
- Block–Göttsche invariants from wall-crossing
- Canonical bases for cluster algebras
- The numbers of tropical plane curves through points in general position
- Moduli spaces of rational tropical curves
- Cluster ensembles, quantization and the dilogarithm
- QUANTUM DILOGARITHM
- Intersection theory on tropicalizations of toroidal embeddings
- Scattering diagrams, Hall algebras and stability conditions
- Enumerative tropical algebraic geometry in ℝ²
- A construction of Frobenius manifolds from stability conditions
- Theta bases and log Gromov-Witten invariants of cluster varieties
- Theta functions on varieties with effective anti-canonical class
- Quantum mirrors of log Calabi–Yau surfaces and higher-genus curve counting
- Descendant log Gromov-Witten invariants for toric varieties and tropical curves
- Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry
- Theta functions and mirror symmetry
- Tropical Quantum Field Theory, Mirror Polyvector Fields, and Multiplicities of Tropical Curves