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.
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Review & Systematic Survey
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2001) · 1-42. Full text: pdf Other articles published in the same issue: Turk. J. Math.
Abstract
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.
Özet
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.