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• W3085440337 abstract "Abstract We construct closed arboreal Lagrangian skeleta associated to links of isolated plane curve singularities. This yields closed Lagrangian skeleta for Weinstein pairs $$(mathbb {C}^2,Lambda )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mo>(</mml:mo> <mml:msup> <mml:mrow> <mml:mi>C</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>,</mml:mo> <mml:mi>Λ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> and Weinstein 4-manifolds $$W(Lambda )$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>W</mml:mi> <mml:mo>(</mml:mo> <mml:mi>Λ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> associated to max-tb Legendrian representatives of algebraic links $$Lambda subseteq (mathbb {S}^3,xi _text {st})$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>Λ</mml:mi> <mml:mo>⊆</mml:mo> <mml:mo>(</mml:mo> <mml:msup> <mml:mrow> <mml:mi>S</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>ξ</mml:mi> <mml:mtext>st</mml:mtext> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> . We provide computations of Legendrian and Weinstein invariants, and discuss the contact topological nature of the Fomin–Pylyavskyy–Shustin–Thurston cluster algebra associated to a singularity. Finally, we present a conjectural ADE-classification for Lagrangian fillings of certain Legendrian links and list some related problems." @default.
• W3085440337 created "2020-09-21" @default.
• W3085440337 creator A5026121395 @default.
• W3085440337 date "2022-04-08" @default.
• W3085440337 modified "2023-10-13" @default.
• W3085440337 title "Lagrangian skeleta and plane curve singularities" @default.
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• W3085440337 doi "https://doi.org/10.1007/s11784-022-00939-8" @default.
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