Denis AUROUX

7386

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.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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