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: Surgery on Compact ManifoldsSurgery on Compact Manifolds
by - American Mathematical Society
This book represents an attempt to collect and systematize the methods and main applications of the method of surgery, insofar as compact (but not necessarily connected, simply connected or closed) manifolds are involved.
(9455 views)
Book cover: Knot Invariants and Higher Representation TheoryKnot Invariants and Higher Representation Theory
by - arXiv
We construct knot invariants categorifying the quantum knot variants for all representations of quantum groups. We show that these invariants coincide with previous invariants defined by Khovanov for sl_2 and sl_3 and by Mazorchuk-Stroppel...
(7174 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.
(18025 views)
Book cover: Math That Makes You Go WowMath That Makes You Go Wow
by - Ohio State University
This is an innovative project by a group of Yale undergraduates: A Multi-Disciplinary Exploration of Non-Orientable Surfaces. The course is designed to be included as a short segment in a late middle school or early high school math course.
(14763 views)