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Fundamental Group of the Complement to Certain Special Divisors on the Moduli Space of Points on CP^2
P. 171–200.
Alekseeva D., Shevchishin V.
In press
The goal of this diploma thesis is to understand symplectic mapping class group of rational 4-manifolds and how it changes, when the cohomology class of the symplectic form varies. For this aims, we will show that in some cases this group admits a realization as the fundamental group of the complement to certain divisor on Hilbert scheme of points on CP^2. This divisor is the locus of special constellations of points which parameterize rational complex surfaces with rational -curves on . In the paper we will describe irreducible components of this divisor and show that the loops around the components of the divisor are natural generators of the symplectic mapping class group.
Language:
English
Keywords: Symplectic Geometry
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