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A note on automorphisms of the sphere complex

✍ Scribed by PANDIT, SUHAS


Book ID
125377832
Publisher
Indian Academy of Sciences
Year
2014
Tongue
English
Weight
353 KB
Volume
124
Category
Article
ISSN
0253-4142

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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