Logo

Four-manifolds, Geometries and Knots

Small book cover: Four-manifolds, Geometries and Knots

Four-manifolds, Geometries and Knots
by

Publisher: arXiv
Number of pages: 396

Description:
The goal of this book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such manifolds and knots. The first chapter is purely algebraic. The rest of the book may be divided into three parts: general results on homotopy and surgery, geometries and geometric decompositions, and 2-knots.

Home page url

Download or read it online for free here:
Download link
(2.7MB, PDF)

Similar books

Book cover: Geometric Topology: Localization, Periodicity and Galois SymmetryGeometric Topology: Localization, Periodicity and Galois Symmetry
by - 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.
(4236 views)
Book cover: Lectures on Polyhedral TopologyLectures on Polyhedral Topology
by - 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.
(4285 views)
Book cover: CDBooK: Introduction to Vassiliev Knot invariantsCDBooK: Introduction to Vassiliev Knot invariants
by - Ohio State Universit
An introduction to the theory of finite type (Vassiliev) knot invariants, with a stress on its combinatorial aspects. Written for readers with no background in this area, and we care more about the basic notions than about more advanced material.
(6190 views)
Book cover: The Geometry and Topology of Three-ManifoldsThe Geometry and Topology of Three-Manifolds
by - Mathematical Sciences Research Institute
The text describes the connection between geometry and lowdimensional topology, it is useful to graduate students and mathematicians working in related fields, particularly 3-manifolds and Kleinian groups. Much of the material or technique is new.
(11967 views)