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Fundamental groups of complements of plane curves and symplectic invariants |
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| Authors: | D. Auroux S.K. Donaldson |
| Affiliation: | a Department of Mathematics, MIT, Room 2-169, 77 Massachusetts Avenue, Cambridge, MA 02139, USA b Department of Mathematics, Imperial College, London SW7 2BZ, UK c Department of Mathematics, University of California, Irvine, CA 92697, USA |
| Abstract: | Introducing the notion of stabilized fundamental group for the complement of a branch curve in  , 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. |
| Keywords: | Fundamental groups Branch curve complements Symplectic 4-manifolds Braid monodromy |
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