**CDBooK: Introduction to Vassiliev Knot invariants**

by S.Chmutov, S.Duzhin, J.Mostovoy

**Publisher**: Ohio State Universit 2009**Number of pages**: 460

**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**

(6.7MB, PDF)

## Similar books

**Algebraic and Geometric Surgery**

by

**Andrew Ranicki**-

**Oxford University Press**

Surgery theory is the standard method for the classification of high-dimensional manifolds, where high means 5 or more. This book aims to be an entry point to surgery theory for a reader who already has some background in topology.

(

**7683**views)

**Lectures on Polyhedral Topology**

by

**John R. Stallings**-

**Tata Institute of Fundamental Research**

These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.

(

**6511**views)

**Surgical Methods in Rigidity**

by

**F.T. Farrell**-

**Springer**

This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite.

(

**5300**views)

**The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds**

by

**A.A. Ranicki, et al,**-

**Springer**

The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology.

(

**7220**views)