Mustafa Korkmaz

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Let S be either a sphere with 5 punctures or a torus with 3 punctures. We prove that the automorphism group of the complex of curves of S is isomorphic to the extended mapping class group M S. As applications we prove that surfaces of genus 1 are determined by their complexes of curves, and any isomorphism between two subgroups of M S of nite index is the(More)
  • H Endo, M Korkmaz, D Kotschick, B Ozbagci, And A Stipsicz
  • 2001
We construct examples of Lefschetz fibrations with prescribed singular fibers. By taking differences of pairs of such fibrations with the same singular fibers, we obtain new examples of surface bundles over surfaces with non-zero signature. From these we derive new upper bounds for the minimal genus of a surface representing a given element in the second(More)
In this paper we construct a faithful representation of the mapping class group of the genus two surface into a group of matrices over the complex numbers. Our starting point is the Lawrence-Krammer representation of the braid group B n , which was shown to be faithful by Bigelow and Krammer. We obtain a faithful representation of the mapping class group of(More)