The canonical wall structure and intrinsic mirror symmetry

M Gross, B Siebert - Inventiones mathematicae, 2022 - Springer
As announced in Gross and Siebert (in Algebraic geometry: Salt Lake City 2015,
Proceedings of Symposia in Pure Mathematics, vol 97, no 2. AMS, Providence, pp 199–230 …

Donaldson–Thomas invariants from tropical disks

MW Cheung, T Mandel - Selecta Mathematica, 2020 - Springer
We prove that the quantum DT-invariants associated to quivers with genteel potential can be
expressed in terms of certain refined counts of tropical disks. This is based on a quantum …

Compactifications of cluster varieties and convexity

MW Cheung, T Magee… - International Mathematics …, 2022 - academic.oup.com
Abstract Gross–Hacking–Keel–Kontsevich discuss compactifications of cluster varieties from
positive subsets in the real tropicalization of the mirror. To be more precise, let be the …

Cluster scattering diagrams and theta functions for reciprocal generalized cluster algebras

MW Cheung, E Kelley, G Musiker - Annals of Combinatorics, 2023 - Springer
We give a construction of generalized cluster varieties and generalized cluster scattering
diagrams for reciprocal generalized cluster algebras, the latter of which were defined by …