Geometry & Topology Volume 30, issue 1 (2026)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Free boundary flow with surgery

Robert Haslhofer

Geometry & Topology 30 (2026) 1–22

DOI: 10.2140/gt.2026.30.1

Bibliography

1	B Andrews, Noncollapsing in mean-convex mean curvature flow, Geom. Topol. 16 (2012) 1413 MR2967056
2	S Angenent, P Daskalopoulos, N Sesum, Uniqueness of two-convex closed ancient solutions to the mean curvature flow, Ann. of Math. (2) 192 (2020) 353 MR4151080
3	S Brendle, K Choi, Uniqueness of convex ancient solutions to mean curvature flow in ℝ³, Invent. Math. 217 (2019) 35 MR3958790
4	S Brendle, G Huisken, Mean curvature flow with surgery of mean convex surfaces in ℝ³, Invent. Math. 203 (2016) 615 MR3455158
5	R Buzano, R Haslhofer, O Hershkovits, The moduli space of two-convex embedded tori, Int. Math. Res. Not. 2019 (2019) 392 MR3903562
6	R Buzano, R Haslhofer, O Hershkovits, The moduli space of two-convex embedded spheres, J. Differential Geom. 118 (2021) 189 MR4278693
7	K Choi, R Haslhofer, O Hershkovits, Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness, Acta Math. 228 (2022) 217 MR4448681
8	J M Daniels-Holgate, Approximation of mean curvature flow with generic singularities by smooth flows with surgery, Adv. Math. 410 (2022) 108715 MR4493003
9	N Edelen, Convexity estimates for mean curvature flow with free boundary, Adv. Math. 294 (2016) 1 MR3479560
10	N Edelen, The free-boundary Brakke flow, J. Reine Angew. Math. 758 (2020) 95 MR4048443
11	N Edelen, R Haslhofer, M N Ivaki, J J Zhu, Mean convex mean curvature flow with free boundary, Comm. Pure Appl. Math. 75 (2022) 767 MR4400902
12	Y Giga, M H Sato, Neumann problem for singular degenerate parabolic equations, Differential Integral Equations 6 (1993) 1217 MR1235189
13	R Haslhofer, Flows with surgery revisited, Adv. Math. 483 (2025) 110672 MR4988049
14	R Haslhofer, D Ketover, Minimal 2-spheres in 3-spheres, Duke Math. J. 168 (2019) 1929 MR3983295
15	R Haslhofer, D Ketover, Free boundary minimal disks in convex balls, J. Reine Angew. Math. 828 (2025) 307 MR4979242
16	R Haslhofer, B Kleiner, Mean curvature flow with surgery, Duke Math. J. 166 (2017) 1591 MR3662439
17	G Huisken, Asymptotic behavior for singularities of the mean curvature flow, J. Differential Geom. 31 (1990) 285 MR1030675
18	M Langford, H T Nguyen, Quadratically pinched hypersurfaces of the sphere via mean curvature flow with surgery, Calc. Var. Partial Differential Equations 60 (2021) 216 MR4308246
19	Y Liokumovich, D Maximo, Waist inequality for 3-manifolds with positive scalar curvature, from: "Perspectives in scalar curvature, II" (editors M L Gromov, J Lawson H. Blaine), World Sci. (2023) 799 MR4577931
20	S Lynch, H T Nguyen, High codimension mean curvature flow with surgery, preprint (2020) arXiv:2004.07163
21	A Mramor, S Wang, Low entropy and the mean curvature flow with surgery, Calc. Var. Partial Differential Equations 60 (2021) 96 MR4249874
22	B White, Stratification of minimal surfaces, mean curvature flows, and harmonic maps, J. Reine Angew. Math. 488 (1997) 1 MR1465365
23	B White, The size of the singular set in mean curvature flow of mean-convex sets, J. Amer. Math. Soc. 13 (2000) 665 MR1758759
24	B White, The nature of singularities in mean curvature flow of mean-convex sets, J. Amer. Math. Soc. 16 (2003) 123 MR1937202
25	B White, A local regularity theorem for mean curvature flow, Ann. of Math. (2) 161 (2005) 1487 MR2180405