Satellites of infinite rank in the smooth concordance group
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DOI: 10.1007/s00222-020-01026-w
Abstract: We conjecture that satellite operations are either constant or have infinite rank in the concordance group. We reduce this to the difficult case of winding number zero satellites, and use $SO(3)$ gauge theory to provide… read more here.
Keywords: smooth concordance; concordance; concordance group; infinite rank ... See more keywords
Groups with some restrictions on non-Baer subgroups
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DOI: 10.1007/s11587-021-00557-5
Abstract: It is proved that if G is an $$\mathfrak {X}$$ -group of infinite rank whose proper subgroups of infinite rank are Baer groups, then so are all proper subgroups of G, where $$\mathfrak {X}$$ is… read more here.
Keywords: locally graded; group; infinite rank; baer subgroups ... See more keywords
Graded quantum cluster algebras of infinite rank as colimits
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DOI: 10.1016/j.jpaa.2017.12.014
Abstract: We provide a graded and quantum version of the category of rooted cluster algebras introduced by Assem, Dupont and Schiffler and show that every graded quantum cluster algebra of infinite rank can be written as… read more here.
Keywords: quantum cluster; infinite rank; cluster algebras; cluster ... See more keywords