Yi Lin
EQUIVARIANT SYMPLECTIC HODGE THEORY AND STRONG LEFSCHETZ MANIFOLDS
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Buch
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
Beschreibung
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 other things, we construct six-dimensional compact non-Kaehler Hamiltonian circle manifolds which each satisfy the Hard Lefschetz property, but nevertheless each have a symplectic quotient which does not satisfy the strong Lefschetz property. As an aside we prove that the strong Lefschetz property, unlike that of equivariant Kaehler condition, does not guarantee the Duistermaat-Heckman function to be log-concave.
CHF 66.00
Preise inkl. MwSt. und Versandkosten (Portofrei ab CHF 40.00)
V105:
Folgt in ca. 15 Arbeitstagen
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.
69 weitere Werke von Yi Lin:
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 87.70
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 68.50
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 194.50
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (EPUB Format)
CHF 87.70
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 154.80
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 121.50
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 41.25
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (EPUB Format)
CHF 41.25
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 55.45
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 56.75
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 34.80
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (EPUB Format)
CHF 101.25
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (EPUB Format)
CHF 31.60
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 31.60
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (PDF Format)
CHF 106.50
A study of Hamiltonian symplectic geometry from a Hodge theoretic point of view
Ebook (EPUB Format)
CHF 142.20
Bewertungen
0 von 0 Bewertungen
Anmelden
Keine Bewertungen gefunden. Seien Sie der Erste und teilen Sie Ihre Erkenntnisse mit anderen.