Simple closed curves in stable covers of surfaces
نویسندگان
چکیده
Let f : X → Y f: \to Y be a regular covering of surface alttext="upper encoding="application/x-tex">Y finite type with nonempty boundary, finitely-generated (possibly infinite) deck group G"> G encoding="application/x-tex">G . We give necessary and sufficient conditions for an integral homology class on X"> encoding="application/x-tex">X to admit representative as connected component the preimage nonseparating simple closed curve , possibly after passing “stabilization”, i.e. -equivariant embedding spaces hook Superscript plus"> stretchy="false">↪<!-- ↪ <mml:msup> + encoding="application/x-tex">X \hookrightarrow X^+
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2023
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8940