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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities

Af: David Eisenbud, Walter D. Neumann Engelsk Paperback

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities

Af: David Eisenbud, Walter D. Neumann Engelsk Paperback
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This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing.


Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

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This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing.


Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

Produktdetaljer
Sprog: Engelsk
Sider: 180
ISBN-13: 9780691083810
Indbinding: Paperback
Udgave:
ISBN-10: 0691083819
Kategori: Geometri
Udg. Dato: 21 jan 1986
Længde: 19mm
Bredde: 150mm
Højde: 228mm
Forlag: Princeton University Press
Oplagsdato: 21 jan 1986
Forfatter(e) David Eisenbud, Walter D. Neumann


Kategori Geometri


ISBN-13 9780691083810


Sprog Engelsk


Indbinding Paperback


Sider 180


Udgave


Længde 19mm


Bredde 150mm


Højde 228mm


Udg. Dato 21 jan 1986


Oplagsdato 21 jan 1986


Forlag Princeton University Press

Kategori sammenhænge