Fundamental groups of complements of plane curves and symplectic invariants
Auroux, D. ; Donaldson, S. K. ; Katzarkov, L. ; Yotov, M.
HAL, hal-00012114 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] 
@article{hal-00012114,
     author = {Auroux, D. and Donaldson, S. K. and Katzarkov, L. and Yotov, M.},
     title = {Fundamental groups of complements of plane curves and symplectic invariants},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012114}
}

Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M. Fundamental groups of complements of plane curves and symplectic invariants. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012114/