Hatcher-Thurston complex for surfaces with non-planar ends
Abstract
In this paper, for each k∈ N, we define a complex k(S) for an infinite-type surface S with non-planar ends, which serves as an analog of the Hatcher-Thurston complex for the infinite-type setting. We show that k(S) is connected, simply connected, and that the automorphism group of k(S) is isomorphic to the extended mapping class group.
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