The acyclicity of the complex of homologous curves

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arxiv 2305.12548 v3 pith:YPM7BFOO submitted 2023-05-21 math.GT

Daniel Minahan This is my paper · ORCID

classification math.GT

keywords complexcurveshomologousacyclicacyclicityclosedgenusoriented

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We show that the complex of homologous curves of a closed, oriented surface of genus g is (g-3)--acyclic.