Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ancient solutions in Lagrangian mean curvature flow   Ancient solutions of Lagrangian mean curvature flow in C^n naturally arise as
Type II blow-ups. In this extended note we give structural and classification
results for such ancient solutions in terms of their blow-down and, motivated
by the Thomas-Yau Conjecture, focus on the almost calibrated case. In
particular, we classify Type II blow-ups of almost calibrated Lagrangian mean
curvature flow when the blow-down is a pair of transverse planes or, when n=2,
a multiplicity two plane. We also show that the Harvey-Lawson Clifford torus
cone in C^3 cannot arise as the blow-down of an almost calibrated Type II
blow-up.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin