Geometry & Topology Volume 29, issue 5 (2025)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Quantitative Thomas–Yau uniqueness

Yang Li

Geometry & Topology 29 (2025) 2251–2268

DOI: 10.2140/gt.2025.29.2251

Bibliography

1	M Abouzaid, Y Imagi, Nearby special Lagrangians, preprint (2021) arXiv:2112.10385
2	M Akaho, D Joyce, Immersed Lagrangian Floer theory, J. Differential Geom. 86 (2010) 381 MR2785840
3	F Almgren, Optimal isoperimetric inequalities, Indiana Univ. Math. J. 35 (1986) 451 MR855173
4	V I Arnol’d, Dynamics of complexity of intersections, Bol. Soc. Brasil. Mat. 21 (1990) 1 MR1139553
5	D Auroux, A beginner’s introduction to Fukaya categories, from: "Contact and symplectic topology" (editors F Bourgeois, V Colin, A Stipsicz), Bolyai Soc. Math. Stud. 26, János Bolyai Math. Soc. (2014) 85 MR3220941
6	Y Imagi, A uniqueness theorem for gluing calibrated submanifolds, Comm. Anal. Geom. 23 (2015) 691 MR3385777
7	Y Imagi, D Joyce, J Oliveira dos Santos, Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in ℂ^m, Duke Math. J. 165 (2016) 847 MR3482334
8	D Joyce, Conjectures on Bridgeland stability for Fukaya categories of Calabi–Yau manifolds, special Lagrangians, and Lagrangian mean curvature flow, EMS Surv. Math. Sci. 2 (2015) 1 MR3354954
9	Y Li, Thomas–Yau conjecture and holomorphic curves, EMS Surv. Math. Sci. (2025)
10	A Neves, Recent progress on singularities of Lagrangian mean curvature flow, from: "Surveys in geometric analysis and relativity" (editors H L Bray, W P Minicozzi), Adv. Lect. Math. 20, International (2011) 413 MR2906935
11	P Seidel, Categorical dynamics, lecture notes (2012)
12	R P Thomas, S T Yau, Special Lagrangians, stable bundles and mean curvature flow, Comm. Anal. Geom. 10 (2002) 1075 MR1957663