Abelian Quotients of Monoids of Homology Cylinders
نویسندگان
چکیده
We discuss abelian quotients of monoids of homology cylinders of a surface, each of which consists of a compact 3-manifold as a homology cobordism between two copies of a surface and markings of the boundary. We show that both of the monoid of all homology cylinders and that of irreducible homology cylinders are not finitely generated and moreover they have big abelian quotients. The proof is given by applying the sutured Floer homology theory to homological fibered knots introduced in a previous paper.
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