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Yi Lin

EQUIVARIANT SYMPLECTIC HODGE THEORY AND STRONG LEFSCHETZ MANIFOLDS

A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view

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Consider the Hamiltonian action of a compact Lie group on a symplectic manifold which has the strong Lefschetz property. We first establish an equivariant version of the Merkulov-Guillemin dd-lemma, and an improved version of the Kirwan-Ginzburg equivariant formality theorem, which says that every cohomology class has a canonical equivariant extension. We then proceed to extend the equivariant dd-lemma to equivariant differential forms with generalized coefficients. Finally we investigate the subtle differences between an equivariant Kaehler manifold and a Hamiltonian symplectic manifold with the strong Lefscehtz property. Among… Mehr

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Produktdetails


  • ISBN: 978-3-8383-1835-6
  • EAN: 9783838318356
  • Produktnummer: 37826292
  • Verlag: LAP Lambert Academic Publishing
  • Sprache: Englisch
  • Erscheinungsjahr: 2009
  • Seitenangabe: 88 S.
  • Masse: H22.0 cm x B15.0 cm x D0.5 cm 149 g
  • Abbildungen: Paperback
  • Gewicht: 149

Über den Autor


Yi Lin received his Ph.D degree in Mathematics in 2004 from Cornell University. He had a visiting assistant professor and a postdoctoral position with the University of Illinois at Urbana-Champaign and the University of Toronto respectively. Since August 2008, he has been an assistant professor at Georgia Southern University.

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