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Mathematics > Symplectic Geometry

arXiv:1812.00489 (math)
[Submitted on 2 Dec 2018 (v1), last revised 13 Jun 2019 (this version, v3)]

Title:A Lagrangian sphere which is not a vanishing cycle

Authors:François Greer
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Abstract:We give examples of Calabi-Yau threefolds containing Lagrangian spheres which are not vanishing cycles of nodal degenerations, answering a question of Donaldson in the negative.
Comments: 8 pages, 1 figure. More details are included in the discussion after Prop. 5 and the proof of Prop. 8. Section 4 is streamlined significantly
Subjects: Symplectic Geometry (math.SG); Algebraic Geometry (math.AG)
Cite as: arXiv:1812.00489 [math.SG]
  (or arXiv:1812.00489v3 [math.SG] for this version)
  https://doi.org/10.48550/arXiv.1812.00489

Submission history

From: François Greer [view email]
[v1] Sun, 2 Dec 2018 23:42:25 UTC (8 KB)
[v2] Sat, 8 Dec 2018 19:35:35 UTC (273 KB)
[v3] Thu, 13 Jun 2019 18:57:34 UTC (274 KB)
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