Mathematics > Symplectic Geometry
[Submitted on 23 Apr 2018 (v1), last revised 18 Oct 2018 (this version, v2)]
Title:Hirzebruch surfaces in a one-parameter family
View PDFAbstract:We introduce a family of spaces, parametrized by positive real numbers, that includes all of the Hirzebruch surfaces. Each space is viewed from two distinct perspectives. First, as a leaf space of a compact, complex, foliated manifold, following [BZ1]. Second, as a symplectic cut of the manifold $\mathbb{C}\times S^2$ in a possibly nonrational direction, following [BP2].
Submission history
From: Elisa Prato [view email][v1] Mon, 23 Apr 2018 15:23:58 UTC (39 KB)
[v2] Thu, 18 Oct 2018 14:53:42 UTC (40 KB)
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