The Casson invariant of surgered, sewn link exteriors (Q1191869)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The Casson invariant of surgered, sewn link exteriors |
scientific article; zbMATH DE number 62949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Casson invariant of surgered, sewn link exteriors |
scientific article; zbMATH DE number 62949 |
Statements
The Casson invariant of surgered, sewn link exteriors (English)
0 references
27 September 1992
0 references
The sewing up construction of W. R. Brakes produces a closed 3-manifold by identifying the boundary components of the exterior of a 2-component link. As explained in the author's abstract: ``Under certain assumptions this process yields homology handles which can be surgered to obtain homology spheres. The main result is a formula for the Casson invariant of homology spheres obtained by this construction when the link has linking number zero. The main ingredient is a lemma which relates some information from the Conway polynomial of the band connected sum of two knots before and after the surgery''.
0 references
identifying the boundary components of the exterior of a 2-component link
0 references
homology handles
0 references
homology spheres
0 references
Casson invariant
0 references
Conway polynomial
0 references
Seifert surface
0 references
seven link exterior
0 references
