Three-Dimensional Link Theory and Invariants of Plane Curve Singularities
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3-sphere
A01=David Eisenbud
A01=Walter D. Neumann
Alexander Grothendieck
Alexander polynomial
Algebraic curve
Algebraic equation
Algebraic geometry
Algebraic surface
Algorithm
Analytic function
Author_David Eisenbud
Author_Walter D. Neumann
Big O notation
Call graph
Cartesian coordinate system
Category=PBM
Category=PBV
Characteristic polynomial
Cohomology
Computation
Coprime integers
Curve
Cyclic group
Determinant
Diagram (category theory)
Diffeomorphism
Dimension
Eigenvalues and eigenvectors
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Equivalence class
Euler number
Exterior (topology)
Fiber bundle
Fibration
Geometry
Graph (discrete mathematics)
Homeomorphism
Homology sphere
Identity matrix
Integer matrix
Intersection form (4-manifold)
Jordan normal form
Knot theory
Mathematical induction
Monodromy
Monodromy matrix
N-sphere
Natural transformation
Newton polygon
Newton's method
Normal (geometry)
Notation
Parametrization
Plane curve
Polynomial
Power series
Projective plane
Puiseux series
Resolution of singularities
Riemann sphere
Riemann surface
Root of unity
Scientific notation
Seifert surface
Set (mathematics)
Sign (mathematics)
Special case
Submanifold
Summation
Theorem
Three-dimensional space (mathematics)
Topology
Torus knot
Tubular neighborhood
Variable (mathematics)
Product details
- ISBN 9780691083810
- Weight: 255g
- Dimensions: 152 x 229mm
- Publication Date: 21 Jan 1986
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: 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.
