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Thomas–Yau conjecture on decomposition at finite-time singularities
Thomas–Yau conjecture. If the flow has a finite-time singularity, then $L$ can be decomposed into a graded connected sum $M_1\# M_2$ satisfying
Conjectureopencalabi-yau-geometry lagrangian-mean-curvature-flow lagrangian-surgeryarXiv posted 2 days ago

Thomas–Yau conjecture on decomposition at finite-time singularities