Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 /

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / Walter D. Neumann, David Eisenbud.

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 wh...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Eisenbud, David,
Neumann, Walter D.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1986
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 110
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Physical Description:1 online resource (180 p.)
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spelling Eisenbud, David, author. aut http://id.loc.gov/vocabulary/relators/aut
Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / Walter D. Neumann, David Eisenbud.
Princeton, NJ : Princeton University Press, [2016]
©1986
1 online resource (180 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Annals of Mathematics Studies ; 110
Frontmatter -- Contents -- Abstract -- Three-Dimensional Link Theory and Invariants of Plane Curve Singularities -- Introduction -- Review -- Preview -- Chapter I: Foundations -- Appendix to Chapter I: Algebraic Links -- Chapter II: Classification -- Chapter III: Invariants -- Chapter IV: Examples -- Chapter V: Relation to Plumbing -- References -- Backmatter
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Curves, Plane.
Invariants.
Link theory.
Singularities (Mathematics).
MATHEMATICS / General. bisacsh
3-sphere.
Alexander Grothendieck.
Alexander polynomial.
Algebraic curve.
Algebraic equation.
Algebraic geometry.
Algebraic surface.
Algorithm.
Ambient space.
Analytic function.
Approximation.
Big O notation.
Call graph.
Cartesian coordinate system.
Characteristic polynomial.
Closed-form expression.
Cohomology.
Computation.
Conjecture.
Connected sum.
Contradiction.
Coprime integers.
Corollary.
Curve.
Cyclic group.
Determinant.
Diagram (category theory).
Diffeomorphism.
Dimension.
Disjoint union.
Eigenvalues and eigenvectors.
Equation.
Equivalence class.
Euler number.
Existential quantification.
Exterior (topology).
Fiber bundle.
Fibration.
Foliation.
Fundamental group.
Geometry.
Graph (discrete mathematics).
Ground field.
Homeomorphism.
Homology sphere.
Identity matrix.
Integer matrix.
Intersection form (4-manifold).
Isolated point.
Isolated singularity.
Jordan normal form.
Knot theory.
Mathematical induction.
Monodromy matrix.
Monodromy.
N-sphere.
Natural transformation.
Newton polygon.
Newton's method.
Normal (geometry).
Notation.
Pairwise.
Parametrization.
Plane curve.
Polynomial.
Power series.
Projective plane.
Puiseux series.
Quantity.
Rational function.
Resolution of singularities.
Riemann sphere.
Riemann surface.
Root of unity.
Scientific notation.
Seifert surface.
Set (mathematics).
Sign (mathematics).
Solid torus.
Special case.
Stereographic projection.
Submanifold.
Summation.
Theorem.
Three-dimensional space (mathematics).
Topology.
Torus knot.
Torus.
Tubular neighborhood.
Unit circle.
Unit vector.
Unknot.
Variable (mathematics).
Neumann, Walter D., author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
print 9780691083810
https://doi.org/10.1515/9781400881925
https://www.degruyter.com/isbn/9781400881925
Cover https://www.degruyter.com/document/cover/isbn/9781400881925/original
language English
format eBook
author Eisenbud, David,
Eisenbud, David,
Neumann, Walter D.,
spellingShingle Eisenbud, David,
Eisenbud, David,
Neumann, Walter D.,
Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 /
Annals of Mathematics Studies ;
Frontmatter --
Contents --
Abstract --
Three-Dimensional Link Theory and Invariants of Plane Curve Singularities --
Introduction --
Review --
Preview --
Chapter I: Foundations --
Appendix to Chapter I: Algebraic Links --
Chapter II: Classification --
Chapter III: Invariants --
Chapter IV: Examples --
Chapter V: Relation to Plumbing --
References --
Backmatter
author_facet Eisenbud, David,
Eisenbud, David,
Neumann, Walter D.,
Neumann, Walter D.,
Neumann, Walter D.,
author_variant d e de
d e de
w d n wd wdn
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Neumann, Walter D.,
Neumann, Walter D.,
author2_variant w d n wd wdn
author2_role VerfasserIn
VerfasserIn
author_sort Eisenbud, David,
title Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 /
title_full Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / Walter D. Neumann, David Eisenbud.
title_fullStr Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / Walter D. Neumann, David Eisenbud.
title_full_unstemmed Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / Walter D. Neumann, David Eisenbud.
title_auth Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 /
title_alt Frontmatter --
Contents --
Abstract --
Three-Dimensional Link Theory and Invariants of Plane Curve Singularities --
Introduction --
Review --
Preview --
Chapter I: Foundations --
Appendix to Chapter I: Algebraic Links --
Chapter II: Classification --
Chapter III: Invariants --
Chapter IV: Examples --
Chapter V: Relation to Plumbing --
References --
Backmatter
title_new Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 /
title_sort three-dimensional link theory and invariants of plane curve singularities. (am-110), volume 110 /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2016
physical 1 online resource (180 p.)
Issued also in print.
contents Frontmatter --
Contents --
Abstract --
Three-Dimensional Link Theory and Invariants of Plane Curve Singularities --
Introduction --
Review --
Preview --
Chapter I: Foundations --
Appendix to Chapter I: Algebraic Links --
Chapter II: Classification --
Chapter III: Invariants --
Chapter IV: Examples --
Chapter V: Relation to Plumbing --
References --
Backmatter
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https://www.degruyter.com/document/cover/isbn/9781400881925/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 514 - Topology
dewey-full 514.224
dewey-sort 3514.224
dewey-raw 514.224
dewey-search 514.224
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oclc_num 979581034
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is_hierarchy_title Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 /
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