Knots, homology spheres, and contractible 4-manifolds
نویسندگان
چکیده
منابع مشابه
An equivariant Casson invariant of knots in homology spheres
From the construction of the Casson invariant of homology spheres using intersection on configuration spaces, we propose a construction of an equivariant Casson invariant for a knot K homologous to 0 in rational homology sphere M . Our construction is adapted from C. Lescop ([7]) and use the same ideas in an equivariant setting. We show that the invariant we obtain is similar to the 2-loop part...
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It is one of the most interesting facts in 4–dimensional topology that even in simply–connected 4–manifolds, not every homology class of degree 2 can be represented by an embedded sphere. In 1978, M. Freedman and R. Kirby showed that many of the obstructions against constructing such a sphere vanish if one modifies the ambient 4–manifold by adding copies of products of spheres, a process which ...
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ژورنال
عنوان ژورنال: Topology
سال: 1975
ISSN: 0040-9383
DOI: 10.1016/0040-9383(75)90024-5