Fundamental groups of complements of plane curves and symplectic invariants

Details Fundamental groups of complements of plane curves and symplectic invariants Fundamental groups of complements of plane curves and symplectic invariants

2002-03-18

arxiv.org/abs/math/0203183v1

Mathematics

Geometric Topology

34 pages, 9 figures

Scientific paper

Introducing the notion of stabilized fundamental group for the complement of a branch curve in $CP^2$, we define effectively computable invariants of symplectic 4-manifolds that generalize those previously introduced by Moishezon and Teicher for complex projective surfaces. Moreover, we study the structure of these invariants and formulate conjectures supported by calculations on new examples.

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