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Subcritical polarisations of symplectic manifolds have degree one

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Publication:2042005
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DOI10.1007/s00013-021-01605-0zbMath1471.53069arXiv2101.02068OpenAlexW3154789033MaRDI QIDQ2042005

Hansjörg Geiges, Kevin Sporbeck, Kai Zehmisch

Publication date: 26 July 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02068


zbMATH Keywords

Donaldson hypersurfaceKulkarni-Wood homomorphismsubcritical polarisation


Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Algebraic topology on manifolds and differential topology (57R19) Realizing cycles by submanifolds (57R95)





Cites Work

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  • Contact structures on product five-manifolds and fibre sums along circles
  • Topology of nonsingular complex hypersurfaces
  • Symplectic submanifolds and almost-complex geometry
  • Remarks on Donaldson's symplectic submanifolds
  • The diffeomorphism type of symplectic fillings
  • CORRELATORS AND DESCENDANTS OF SUBCRITICAL STEIN MANIFOLDS
  • Symplectic homology of complements of smooth divisors
  • Symplectic topology on subcritical manifolds




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