Symplectic maps to projective spaces and symplectic invariants
After reviewing recent results on symplectic Lefschetz pencils and symplectic branched covers of \CP2, we describe a new construction of maps from symplectic manifolds of any dimension to \CP2 and the associated monodromy invariants. We also show that a dimensional induction process makes it possible to describe any compact symplectic manifold by a series of words in braid groups and a word in a symmetric group.
Anahtar Kelimeler:
Turk. J. Math., 25, (2001), 1-42. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.
Symplectic maps to projective spaces and symplectic invariants
After reviewing recent results on symplectic Lefschetz pencils and symplectic branched covers of \CP2, we describe a new construction of maps from symplectic manifolds of any dimension to \CP2 and the associated monodromy invariants. We also show that a dimensional induction process makes it possible to describe any compact symplectic manifold by a series of words in braid groups and a word in a symmetric group.
Keywords:
Turk. J. Math., 25, (2001), 1-42. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
On the tautological ring of \bar{\mathcal{M}}g,n
The topology of symplectic manifolds
A partial order on the group of contactomorphisms of \R2n+1 via generating functions
The Verlinde algebra is twisted equivariant K-theory
Torus fibrations on symplectic four-manifolds
G-bundles on Abelian surfaces, hyperk\"aler manifolds, and stringy Hodge numbers
Jim Bryan, Ron Donagi, Naichung Conan Leung
Sections of Lefschetz fibrations and Stein fillings
Floer homology and its continuity for non-compact Lagrangian submanifolds
Symplectic maps to projective spaces and symplectic invariants