
Introduction to Vassiliev Knot invariants
by S.Chmutov, S.Duzhin, J.Mostovoy
Publisher: Ohio State Universit 2011
Number of pages: 512
Description:
This text provides an introduction to the theory of finite type (Vassiliev) knot invariants, with a stress on its combinatorial aspects. It is intended for readers with no or little background in this area, and we care more about a clear explanation of the basic notions and constructions than about widening the exposition to more recent and more advanced material.
Download or read it online for free here:
Download link
(6.6MB, PDF)
Similar books
Diffeomorphisms of Elliptic 3-Manifoldsby S. Hong, J. Kalliongis, D. McCullough, J. H. Rubinstein - arXiv
The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature. For any elliptic 3-manifold M, the inclusion from the isometry group of M to the diffeomorphism group of M is a homotopy equivalence.
(10307 views)
Algebraic and Geometric Topologyby Andrew Ranicki, Norman Levitt, Frank Quinn - Springer
The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.
(18529 views)
Geometric Topology: Localization, Periodicity and Galois Symmetryby Dennis Sullivan - Springer
In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.
(11837 views)
Lower K- and L-theoryby Andrew Ranicki - Cambridge University Press
This is the first treatment of the applications of the lower K- and L-groups to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. Only elementary constructions are used.
(11768 views)