The Mathematics of Knots: Theory and Application

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We can also have a surface specified by parametric equations, where however we need two parameters, say u and u unlike for a curve, where we need only one formx =f(u, ), y =g(u, ), z =h(u, ) v v v. The authors' intent is to demonstrate the strong interplay among geometry, topology and dynamics. A formula for the dimension of the local moduli space is proved in the case of a scalar-flat Kahler ALE surface which deforms to a minimal resolution of \C^2/\Gamma, where \Gamma is a finite subgroup of U(2) without complex reflections.

Pages: 357

Publisher: Springer; 2011 edition (November 30, 2010)

ISBN: 3642156363

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