nLab
low-dimensional topology

Contents

Context

Manifolds and cobordisms

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

Contents

Idea

The study of the topology of manifolds of low dimension, notably of 2-manifolds (surfaces), 3-manifolds and 4-manifolds, but also 8-manifolds

manifolds in low dimension:

rotation groups in low dimensions:

sp. orth. groupspin grouppin group
SO(2)Spin(2)Pin(2)
SO(3)Spin(3)
SO(4)Spin(4)
Spin(5)
Spin(6)
Spin(7)
SO(8)Spin(8)

see also

References

Last revised on March 23, 2019 at 04:36:15. See the history of this page for a list of all contributions to it.